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Finding the Fourth Proportional to 3,706.75, 5,115.78 and 2,431.70

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Solution

The fourth proportional to 3,706.75, 5,115.78 and 2,431.70 is: 3,356.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.75 : 5,115.78 = 2,431.70 : x
  2. Step 2: Convert to fraction form
    3,706.75/5,115.78 = 2,431.70/x
  3. Step 3: Cross multiply
    3,706.75x = 5,115.78 × 2,431.70
  4. Step 4: Simplify right side
    3,706.75x = 12,440,042.23
  5. Step 5: Solve for x
    x = 12,440,042.23/3,706.75
  6. Step 6: Final answer
    x = 3,356.05

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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.