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Finding the Fourth Proportional to 5,503.92, 8,255.40 and 1,609.20

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Solution

The fourth proportional to 5,503.92, 8,255.40 and 1,609.20 is: 2,413.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,503.92 : 8,255.40 = 1,609.20 : x
  2. Step 2: Convert to fraction form
    5,503.92/8,255.40 = 1,609.20/x
  3. Step 3: Cross multiply
    5,503.92x = 8,255.40 × 1,609.20
  4. Step 4: Simplify right side
    5,503.92x = 13,284,589.68
  5. Step 5: Solve for x
    x = 13,284,589.68/5,503.92
  6. Step 6: Final answer
    x = 2,413.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.