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Finding the Fourth Proportional to 5,489.56, 7,575.64 and 3,131.82

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Solution

The fourth proportional to 5,489.56, 7,575.64 and 3,131.82 is: 4,321.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.56 : 7,575.64 = 3,131.82 : x
  2. Step 2: Convert to fraction form
    5,489.56/7,575.64 = 3,131.82/x
  3. Step 3: Cross multiply
    5,489.56x = 7,575.64 × 3,131.82
  4. Step 4: Simplify right side
    5,489.56x = 23,725,540.86
  5. Step 5: Solve for x
    x = 23,725,540.86/5,489.56
  6. Step 6: Final answer
    x = 4,321.94

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