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Finding the Fourth Proportional to 5,489.76, 8,232 and 2,565.60

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Solution

The fourth proportional to 5,489.76, 8,232 and 2,565.60 is: 3,847.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.76 : 8,232 = 2,565.60 : x
  2. Step 2: Convert to fraction form
    5,489.76/8,232 = 2,565.60/x
  3. Step 3: Cross multiply
    5,489.76x = 8,232 × 2,565.60
  4. Step 4: Simplify right side
    5,489.76x = 21,120,019.20
  5. Step 5: Solve for x
    x = 21,120,019.20/5,489.76
  6. Step 6: Final answer
    x = 3,847.17

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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.