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Finding the Fourth Proportional to 3,727.92, 5,144.80 and 2,466.80

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Solution

The fourth proportional to 3,727.92, 5,144.80 and 2,466.80 is: 3,404.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.92 : 5,144.80 = 2,466.80 : x
  2. Step 2: Convert to fraction form
    3,727.92/5,144.80 = 2,466.80/x
  3. Step 3: Cross multiply
    3,727.92x = 5,144.80 × 2,466.80
  4. Step 4: Simplify right side
    3,727.92x = 12,691,192.64
  5. Step 5: Solve for x
    x = 12,691,192.64/3,727.92
  6. Step 6: Final answer
    x = 3,404.36

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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.