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Finding the Fourth Proportional to 3,721.84, 5,136.08 and 2,149.92

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Solution

The fourth proportional to 3,721.84, 5,136.08 and 2,149.92 is: 2,966.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,721.84 : 5,136.08 = 2,149.92 : x
  2. Step 2: Convert to fraction form
    3,721.84/5,136.08 = 2,149.92/x
  3. Step 3: Cross multiply
    3,721.84x = 5,136.08 × 2,149.92
  4. Step 4: Simplify right side
    3,721.84x = 11,042,161.11
  5. Step 5: Solve for x
    x = 11,042,161.11/3,721.84
  6. Step 6: Final answer
    x = 2,966.86

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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.