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Finding the Fourth Proportional to 5,947.53, 8,206.92 and 3,294.28

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Solution

The fourth proportional to 5,947.53, 8,206.92 and 3,294.28 is: 4,545.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.53 : 8,206.92 = 3,294.28 : x
  2. Step 2: Convert to fraction form
    5,947.53/8,206.92 = 3,294.28/x
  3. Step 3: Cross multiply
    5,947.53x = 8,206.92 × 3,294.28
  4. Step 4: Simplify right side
    5,947.53x = 27,035,892.42
  5. Step 5: Solve for x
    x = 27,035,892.42/5,947.53
  6. Step 6: Final answer
    x = 4,545.73

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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.