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Finding the Fourth Proportional to 3,142.53, 4,729.57 and 2,366.55

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Solution

The fourth proportional to 3,142.53, 4,729.57 and 2,366.55 is: 3,561.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.53 : 4,729.57 = 2,366.55 : x
  2. Step 2: Convert to fraction form
    3,142.53/4,729.57 = 2,366.55/x
  3. Step 3: Cross multiply
    3,142.53x = 4,729.57 × 2,366.55
  4. Step 4: Simplify right side
    3,142.53x = 11,192,757.97
  5. Step 5: Solve for x
    x = 11,192,757.97/3,142.53
  6. Step 6: Final answer
    x = 3,561.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.