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Finding the Fourth Proportional to 3,911.17, 5,397.24 and 2,142.74

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Solution

The fourth proportional to 3,911.17, 5,397.24 and 2,142.74 is: 2,956.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.17 : 5,397.24 = 2,142.74 : x
  2. Step 2: Convert to fraction form
    3,911.17/5,397.24 = 2,142.74/x
  3. Step 3: Cross multiply
    3,911.17x = 5,397.24 × 2,142.74
  4. Step 4: Simplify right side
    3,911.17x = 11,564,882.04
  5. Step 5: Solve for x
    x = 11,564,882.04/3,911.17
  6. Step 6: Final answer
    x = 2,956.89

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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.