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Finding the Fourth Proportional to 5,489.64, 7,575.39 and 3,132

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Solution

The fourth proportional to 5,489.64, 7,575.39 and 3,132 is: 4,321.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.64 : 7,575.39 = 3,132 : x
  2. Step 2: Convert to fraction form
    5,489.64/7,575.39 = 3,132/x
  3. Step 3: Cross multiply
    5,489.64x = 7,575.39 × 3,132
  4. Step 4: Simplify right side
    5,489.64x = 23,726,121.48
  5. Step 5: Solve for x
    x = 23,726,121.48/5,489.64
  6. Step 6: Final answer
    x = 4,321.98

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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.