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Finding the Fourth Proportional to 5,449.92, 8,174.83 and 3,609.27

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Solution

The fourth proportional to 5,449.92, 8,174.83 and 3,609.27 is: 5,413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.92 : 8,174.83 = 3,609.27 : x
  2. Step 2: Convert to fraction form
    5,449.92/8,174.83 = 3,609.27/x
  3. Step 3: Cross multiply
    5,449.92x = 8,174.83 × 3,609.27
  4. Step 4: Simplify right side
    5,449.92x = 29,505,109.75
  5. Step 5: Solve for x
    x = 29,505,109.75/5,449.92
  6. Step 6: Final answer
    x = 5,413.87

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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.