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Finding the Fourth Proportional to 3,713.43, 5,572.24 and 1,523.70

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Solution

The fourth proportional to 3,713.43, 5,572.24 and 1,523.70 is: 2,286.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.43 : 5,572.24 = 1,523.70 : x
  2. Step 2: Convert to fraction form
    3,713.43/5,572.24 = 1,523.70/x
  3. Step 3: Cross multiply
    3,713.43x = 5,572.24 × 1,523.70
  4. Step 4: Simplify right side
    3,713.43x = 8,490,426.85
  5. Step 5: Solve for x
    x = 8,490,426.85/3,713.43
  6. Step 6: Final answer
    x = 2,286.41

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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.