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Finding the Fourth Proportional to 3,713.70, 5,124.42 and 2,142.30

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Solution

The fourth proportional to 3,713.70, 5,124.42 and 2,142.30 is: 2,956.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.70 : 5,124.42 = 2,142.30 : x
  2. Step 2: Convert to fraction form
    3,713.70/5,124.42 = 2,142.30/x
  3. Step 3: Cross multiply
    3,713.70x = 5,124.42 × 2,142.30
  4. Step 4: Simplify right side
    3,713.70x = 10,978,044.97
  5. Step 5: Solve for x
    x = 10,978,044.97/3,713.70
  6. Step 6: Final answer
    x = 2,956.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.