contest math - Inequality with sums and products

Let a,b,c,d positive real numbers such that

$a+b and
$(a+b)(c+d).
Prove that
$(a+b)cd>(c+d)ab$

Source: book on olympiads
I tried manipulating the given statements and i obtained
$3ab
To use this i would need to show that $cd<3(a+b)$ but i am stuck.