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Finding the Fourth Proportional to 5,489.70, 7,575.84 and 3,132.60

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Solution

The fourth proportional to 5,489.70, 7,575.84 and 3,132.60 is: 4,323.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.70 : 7,575.84 = 3,132.60 : x
  2. Step 2: Convert to fraction form
    5,489.70/7,575.84 = 3,132.60/x
  3. Step 3: Cross multiply
    5,489.70x = 7,575.84 × 3,132.60
  4. Step 4: Simplify right side
    5,489.70x = 23,732,076.38
  5. Step 5: Solve for x
    x = 23,732,076.38/5,489.70
  6. Step 6: Final answer
    x = 4,323.02

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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.