How do I determine a file's content type in .NET?

My WPF application gets a file from the user with Microsoft.Win32.OpenFileDialog()...

Private Sub ButtonUpload_Click(...)
    Dim FileOpenStream As Stream = Nothing
    Dim FileBox As New Microsoft.Win32.OpenFileDialog()
    FileBox.InitialDirectory = Environment.GetFolderPath(Environment.SpecialFolder.MyDocuments)
    FileBox.Filter = "Pictures (*.jpg;*.jpeg;*.gif;*.png)|*.jpg;*.jpeg;*.gif;*.png|" & _
                     "Documents (*.pdf;*.doc;*.docx;)|*.pdf;*.doc;*.docx;|" & _
                     "All Files (*.*)|*.*"
    FileBox.FilterIndex = 1
    FileBox.Multiselect = False
    Dim FileSelected As Nullable(Of Boolean) = FileBox.ShowDialog(Me)
    If FileSelected IsNot Nothing AndAlso FileSelected.Value = True Then
        Try
            FileOpenStream = FileBox.OpenFile()
            If (FileOpenStream IsNot Nothing) Then
                Dim ByteArray As Byte()
                Using br As New BinaryReader(FileOpenStream)
                    ByteArray = br.ReadBytes(FileOpenStream.Length)
                End Using
                Dim z As New ZackFile
                z.Id = Guid.NewGuid
                z.FileData = ByteArray
                z.FileSize = CInt(ByteArray.Length)
                z.FileName = FileBox.FileName.Split("\").Last
                z.DateAdded = Now
                db.AddToZackFile(z)
                db.SaveChanges()
            End If
        Catch Ex As Exception
            MessageBox.Show("Cannot read file from disk. " & Ex.Message, "Fail", MessageBoxButton.OK, MessageBoxImage.Error)
        Finally
            If (FileOpenStream IsNot Nothing) Then
                FileOpenStream.Close()
            End If
        End Try
    End If
End Sub

And my ASP.NET MVC application serves it up for download at a web site with FileStreamResult()...

Public Class ZackFileController
    Inherits System.Web.Mvc.Controller

    Function Display(ByVal id As Guid) As FileStreamResult