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Finding the Fourth Proportional to 5,141.28, 7,711.20 and 1,678.56

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Solution

The fourth proportional to 5,141.28, 7,711.20 and 1,678.56 is: 2,517.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.28 : 7,711.20 = 1,678.56 : x
  2. Step 2: Convert to fraction form
    5,141.28/7,711.20 = 1,678.56/x
  3. Step 3: Cross multiply
    5,141.28x = 7,711.20 × 1,678.56
  4. Step 4: Simplify right side
    5,141.28x = 12,943,711.87
  5. Step 5: Solve for x
    x = 12,943,711.87/5,141.28
  6. Step 6: Final answer
    x = 2,517.60

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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.