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Finding the Fourth Proportional to 3,728.70, 5,591.43 and 1,131.12

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Solution

The fourth proportional to 3,728.70, 5,591.43 and 1,131.12 is: 1,696.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.70 : 5,591.43 = 1,131.12 : x
  2. Step 2: Convert to fraction form
    3,728.70/5,591.43 = 1,131.12/x
  3. Step 3: Cross multiply
    3,728.70x = 5,591.43 × 1,131.12
  4. Step 4: Simplify right side
    3,728.70x = 6,324,578.30
  5. Step 5: Solve for x
    x = 6,324,578.30/3,728.70
  6. Step 6: Final answer
    x = 1,696.19

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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.