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Finding the Fourth Proportional to 5,422.69, 8,134.27 and 1,724.54

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Solution

The fourth proportional to 5,422.69, 8,134.27 and 1,724.54 is: 2,586.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.69 : 8,134.27 = 1,724.54 : x
  2. Step 2: Convert to fraction form
    5,422.69/8,134.27 = 1,724.54/x
  3. Step 3: Cross multiply
    5,422.69x = 8,134.27 × 1,724.54
  4. Step 4: Simplify right side
    5,422.69x = 14,027,824.69
  5. Step 5: Solve for x
    x = 14,027,824.69/5,422.69
  6. Step 6: Final answer
    x = 2,586.88

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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.