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Finding the Fourth Proportional to 5,517.52, 7,614.82 and 3,160

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Solution

The fourth proportional to 5,517.52, 7,614.82 and 3,160 is: 4,361.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,517.52 : 7,614.82 = 3,160 : x
  2. Step 2: Convert to fraction form
    5,517.52/7,614.82 = 3,160/x
  3. Step 3: Cross multiply
    5,517.52x = 7,614.82 × 3,160
  4. Step 4: Simplify right side
    5,517.52x = 24,062,831.20
  5. Step 5: Solve for x
    x = 24,062,831.20/5,517.52
  6. Step 6: Final answer
    x = 4,361.17

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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.