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Finding the Fourth Proportional to 3,517.92, 5,276.88 and 2,057.49

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Solution

The fourth proportional to 3,517.92, 5,276.88 and 2,057.49 is: 3,086.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.92 : 5,276.88 = 2,057.49 : x
  2. Step 2: Convert to fraction form
    3,517.92/5,276.88 = 2,057.49/x
  3. Step 3: Cross multiply
    3,517.92x = 5,276.88 × 2,057.49
  4. Step 4: Simplify right side
    3,517.92x = 10,857,127.83
  5. Step 5: Solve for x
    x = 10,857,127.83/3,517.92
  6. Step 6: Final answer
    x = 3,086.24

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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.