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Finding the Fourth Proportional to 3,706.68, 5,113.18 and 2,359.78

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Solution

The fourth proportional to 3,706.68, 5,113.18 and 2,359.78 is: 3,255.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.68 : 5,113.18 = 2,359.78 : x
  2. Step 2: Convert to fraction form
    3,706.68/5,113.18 = 2,359.78/x
  3. Step 3: Cross multiply
    3,706.68x = 5,113.18 × 2,359.78
  4. Step 4: Simplify right side
    3,706.68x = 12,065,979.90
  5. Step 5: Solve for x
    x = 12,065,979.90/3,706.68
  6. Step 6: Final answer
    x = 3,255.20

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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.