Playing Ultima VI from floppy disks?

I have an old IBM 286 computer without a hard drive and I'd like to play Ultima VI on it using 3.5" 1.44MB floppies. I own a legal copy via the Ultima Collection, but it just has a single directory with all of the floppy contents (and some extra files) jumbled together. How can I find out which files to put on which disks?

I know the number and names of the disks from the manual, but not the contents:

If You Use High Density Floppy Disks

Ultima VI comes on low density, 360K disks. If you have a higher density 5 1/4" or 3.5" drive and a low density floppy drive, you can copy two original Ultima VI disks onto each of your high-density disks. This will allow you to play the game with fewer diskswaps. Here's the most efficient combination of disks: PROGRAM/INTRO, GAME/ ENDGAME, MAP/PLAYER, POPULACE A/POPULACE B.