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Finding the Fourth Proportional to 5,134.82, 7,702.16 and 1,239.20

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Solution

The fourth proportional to 5,134.82, 7,702.16 and 1,239.20 is: 1,858.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.82 : 7,702.16 = 1,239.20 : x
  2. Step 2: Convert to fraction form
    5,134.82/7,702.16 = 1,239.20/x
  3. Step 3: Cross multiply
    5,134.82x = 7,702.16 × 1,239.20
  4. Step 4: Simplify right side
    5,134.82x = 9,544,471.97
  5. Step 5: Solve for x
    x = 9,544,471.97/5,134.82
  6. Step 6: Final answer
    x = 1,858.78

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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.