Alright, let's work through 4375 times 669 step by step
4375 × 669 = 669 × (4375)
+ 669 × 5 resulting in 3345
+ 669 × 70 giving us 46830
+ 669 × 300 giving us 200700
+ 669 × 4000 producing 2676000

= 2926875
