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Finding the Fourth Proportional to 3,546.92, 5,318.06 and 1,697.97

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Solution

The fourth proportional to 3,546.92, 5,318.06 and 1,697.97 is: 2,545.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.92 : 5,318.06 = 1,697.97 : x
  2. Step 2: Convert to fraction form
    3,546.92/5,318.06 = 1,697.97/x
  3. Step 3: Cross multiply
    3,546.92x = 5,318.06 × 1,697.97
  4. Step 4: Simplify right side
    3,546.92x = 9,029,897.85
  5. Step 5: Solve for x
    x = 9,029,897.85/3,546.92
  6. Step 6: Final answer
    x = 2,545.85

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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.