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Finding the Fourth Proportional to 5,489.52, 7,576.92 and 3,922.32

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Solution

The fourth proportional to 5,489.52, 7,576.92 and 3,922.32 is: 5,413.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.52 : 7,576.92 = 3,922.32 : x
  2. Step 2: Convert to fraction form
    5,489.52/7,576.92 = 3,922.32/x
  3. Step 3: Cross multiply
    5,489.52x = 7,576.92 × 3,922.32
  4. Step 4: Simplify right side
    5,489.52x = 29,719,104.85
  5. Step 5: Solve for x
    x = 29,719,104.85/5,489.52
  6. Step 6: Final answer
    x = 5,413.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.