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Finding the Fourth Proportional to 5,947.48, 8,207.52 and 3,294.90

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Solution

The fourth proportional to 5,947.48, 8,207.52 and 3,294.90 is: 4,546.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.48 : 8,207.52 = 3,294.90 : x
  2. Step 2: Convert to fraction form
    5,947.48/8,207.52 = 3,294.90/x
  3. Step 3: Cross multiply
    5,947.48x = 8,207.52 × 3,294.90
  4. Step 4: Simplify right side
    5,947.48x = 27,042,957.65
  5. Step 5: Solve for x
    x = 27,042,957.65/5,947.48
  6. Step 6: Final answer
    x = 4,546.96

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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.