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Finding the Fourth Proportional to 3,663.87, 5,056.24 and 2,171.55

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Solution

The fourth proportional to 3,663.87, 5,056.24 and 2,171.55 is: 2,996.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.87 : 5,056.24 = 2,171.55 : x
  2. Step 2: Convert to fraction form
    3,663.87/5,056.24 = 2,171.55/x
  3. Step 3: Cross multiply
    3,663.87x = 5,056.24 × 2,171.55
  4. Step 4: Simplify right side
    3,663.87x = 10,979,877.97
  5. Step 5: Solve for x
    x = 10,979,877.97/3,663.87
  6. Step 6: Final answer
    x = 2,996.80

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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.