The letters A,B,C,D,E,F, and G, not necessarily in that order, represents 7 consecutive positive integers.

It is known that:

1. F is as much less than B as C is greater than D.
2. G is greater than F.
3. B is the middle term.
4. A is precisely 3 greater than D.

Arrange this sequence of letters starting from the lowest magnitude to the highest magnitude.

Provide valid reasoning for your answer.