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Finding the Fourth Proportional to 5,489.44, 7,575.46 and 3,131.68

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Solution

The fourth proportional to 5,489.44, 7,575.46 and 3,131.68 is: 4,321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.44 : 7,575.46 = 3,131.68 : x
  2. Step 2: Convert to fraction form
    5,489.44/7,575.46 = 3,131.68/x
  3. Step 3: Cross multiply
    5,489.44x = 7,575.46 × 3,131.68
  4. Step 4: Simplify right side
    5,489.44x = 23,723,916.57
  5. Step 5: Solve for x
    x = 23,723,916.57/5,489.44
  6. Step 6: Final answer
    x = 4,321.74

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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.