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Finding the Fourth Proportional to 3,721.78, 5,136.06 and 2,149.87

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Solution

The fourth proportional to 3,721.78, 5,136.06 and 2,149.87 is: 2,966.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,721.78 : 5,136.06 = 2,149.87 : x
  2. Step 2: Convert to fraction form
    3,721.78/5,136.06 = 2,149.87/x
  3. Step 3: Cross multiply
    3,721.78x = 5,136.06 × 2,149.87
  4. Step 4: Simplify right side
    3,721.78x = 11,041,861.31
  5. Step 5: Solve for x
    x = 11,041,861.31/3,721.78
  6. Step 6: Final answer
    x = 2,966.82

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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.