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Finding the Fourth Proportional to 3,612.87, 5,414.21 and 1,711.17

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Solution

The fourth proportional to 3,612.87, 5,414.21 and 1,711.17 is: 2,564.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.87 : 5,414.21 = 1,711.17 : x
  2. Step 2: Convert to fraction form
    3,612.87/5,414.21 = 1,711.17/x
  3. Step 3: Cross multiply
    3,612.87x = 5,414.21 × 1,711.17
  4. Step 4: Simplify right side
    3,612.87x = 9,264,649.22
  5. Step 5: Solve for x
    x = 9,264,649.22/3,612.87
  6. Step 6: Final answer
    x = 2,564.35

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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.