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Finding the Fourth Proportional to 5,735.96, 7,915.14 and 3,217.73

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Solution

The fourth proportional to 5,735.96, 7,915.14 and 3,217.73 is: 4,440.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.96 : 7,915.14 = 3,217.73 : x
  2. Step 2: Convert to fraction form
    5,735.96/7,915.14 = 3,217.73/x
  3. Step 3: Cross multiply
    5,735.96x = 7,915.14 × 3,217.73
  4. Step 4: Simplify right side
    5,735.96x = 25,468,743.86
  5. Step 5: Solve for x
    x = 25,468,743.86/5,735.96
  6. Step 6: Final answer
    x = 4,440.19

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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.