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Finding the Fourth Proportional to 3,716.56, 5,571.60 and 3,172.24

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Solution

The fourth proportional to 3,716.56, 5,571.60 and 3,172.24 is: 4,755.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.56 : 5,571.60 = 3,172.24 : x
  2. Step 2: Convert to fraction form
    3,716.56/5,571.60 = 3,172.24/x
  3. Step 3: Cross multiply
    3,716.56x = 5,571.60 × 3,172.24
  4. Step 4: Simplify right side
    3,716.56x = 17,674,452.38
  5. Step 5: Solve for x
    x = 17,674,452.38/3,716.56
  6. Step 6: Final answer
    x = 4,755.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.