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Finding the Fourth Proportional to 3,721.69, 5,136 and 2,229.60

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Solution

The fourth proportional to 3,721.69, 5,136 and 2,229.60 is: 3,076.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,721.69 : 5,136 = 2,229.60 : x
  2. Step 2: Convert to fraction form
    3,721.69/5,136 = 2,229.60/x
  3. Step 3: Cross multiply
    3,721.69x = 5,136 × 2,229.60
  4. Step 4: Simplify right side
    3,721.69x = 11,451,225.60
  5. Step 5: Solve for x
    x = 11,451,225.60/3,721.69
  6. Step 6: Final answer
    x = 3,076.89

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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.