Submitting a Proposal

I wanto submit a non-fiction proposal to a a uk agent at a major agency.
The agency guidelines are as follows:

We are one of the few agencies who do accept unsolicited manuscripts.
Please send your work to us by post addressed to "Submissions Department - Books"

Make sure you enclose these four things:
-A covering letter
-A brief synopsis
-Three chapters of your work on A4, double-spaced and on one side of the page only (don't bind or staple!).
-A self addressed stamped envelope

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That's the established submission for fiction in the UK; mostly they add "for non-fiction send the proposal". Nothing about non-fiction or proposals on this agency site. I'm thinking I'll send the chapter breakdown; but it doesn't make much sense without the rest of the proposal. The 3-chapter part is no problem. What do you think?

SusanL said:

Well, I would follow their guidelines to a tee, including the first three chapters.

However, I thought it was standard to do the book proposal before writing any of the actual book.

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A proposal includes a few chapters, not necessarily the first three.
I think that as a synopsis I'm just going to cut the proposal down to a few pages, and add, as Giant Baby suggests, the offer to send a chapter breakdown. Thought strictly seeing the chapter breakdown is the best equivalent to a fiction synopsis. Left scratching my head...