Final answer:
The ratio of the first measurement to the second measurement is 18:23.
Step-by-step explanation:
To write the ratio of the first measurement to the second measurement, we need to convert the units to the same measurement unit. Since 1 foot is equal to 12 inches, we can convert 3 feet to 36 inches. So, the ratio is 36 inches to 46 inches.
The ratio can be written as 36:46. However, we can simplify the ratio by dividing both numbers by their greatest common factor, which is 2. So, the simplified ratio is 18:23.