If the ratio of m to n is 4:7 and the ratio of n to p is 3:5, what is the ratio of m to p?

m/n = 4/7

7m = 4n ----> n = 7m/4

n/p = 3/5
5n = 3p ----> n = 3p/5

then :
7m/4 = 3p/5
35m = 12p
p/m = 35/12