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Finding the Fourth Proportional to 5,735.97, 7,915.98 and 3,218.29

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Solution

The fourth proportional to 5,735.97, 7,915.98 and 3,218.29 is: 4,441.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.97 : 7,915.98 = 3,218.29 : x
  2. Step 2: Convert to fraction form
    5,735.97/7,915.98 = 3,218.29/x
  3. Step 3: Cross multiply
    5,735.97x = 7,915.98 × 3,218.29
  4. Step 4: Simplify right side
    5,735.97x = 25,475,919.27
  5. Step 5: Solve for x
    x = 25,475,919.27/5,735.97
  6. Step 6: Final answer
    x = 4,441.43

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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.