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Finding the Fourth Proportional to 5,504.38, 8,255.85 and 1,609.18

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Solution

The fourth proportional to 5,504.38, 8,255.85 and 1,609.18 is: 2,413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,504.38 : 8,255.85 = 1,609.18 : x
  2. Step 2: Convert to fraction form
    5,504.38/8,255.85 = 1,609.18/x
  3. Step 3: Cross multiply
    5,504.38x = 8,255.85 × 1,609.18
  4. Step 4: Simplify right side
    5,504.38x = 13,285,148.70
  5. Step 5: Solve for x
    x = 13,285,148.70/5,504.38
  6. Step 6: Final answer
    x = 2,413.56

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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.