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Finding the Fourth Proportional to 3,966.26, 5,942.91 and 2,500.70

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Solution

The fourth proportional to 3,966.26, 5,942.91 and 2,500.70 is: 3,746.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.26 : 5,942.91 = 2,500.70 : x
  2. Step 2: Convert to fraction form
    3,966.26/5,942.91 = 2,500.70/x
  3. Step 3: Cross multiply
    3,966.26x = 5,942.91 × 2,500.70
  4. Step 4: Simplify right side
    3,966.26x = 14,861,435.04
  5. Step 5: Solve for x
    x = 14,861,435.04/3,966.26
  6. Step 6: Final answer
    x = 3,746.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.