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Finding the Fourth Proportional to 3,706.49, 5,115.22 and 2,380.61

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Solution

The fourth proportional to 3,706.49, 5,115.22 and 2,380.61 is: 3,285.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.49 : 5,115.22 = 2,380.61 : x
  2. Step 2: Convert to fraction form
    3,706.49/5,115.22 = 2,380.61/x
  3. Step 3: Cross multiply
    3,706.49x = 5,115.22 × 2,380.61
  4. Step 4: Simplify right side
    3,706.49x = 12,177,350.72
  5. Step 5: Solve for x
    x = 12,177,350.72/3,706.49
  6. Step 6: Final answer
    x = 3,285.41

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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.