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Finding the Fourth Proportional to 5,422.75, 8,134.13 and 1,318.75

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Solution

The fourth proportional to 5,422.75, 8,134.13 and 1,318.75 is: 1,978.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.75 : 8,134.13 = 1,318.75 : x
  2. Step 2: Convert to fraction form
    5,422.75/8,134.13 = 1,318.75/x
  3. Step 3: Cross multiply
    5,422.75x = 8,134.13 × 1,318.75
  4. Step 4: Simplify right side
    5,422.75x = 10,726,883.94
  5. Step 5: Solve for x
    x = 10,726,883.94/5,422.75
  6. Step 6: Final answer
    x = 1,978.13

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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.