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Finding the Fourth Proportional to 5,644.60, 8,469.78 and 3,997.60

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Solution

The fourth proportional to 5,644.60, 8,469.78 and 3,997.60 is: 5,998.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.60 : 8,469.78 = 3,997.60 : x
  2. Step 2: Convert to fraction form
    5,644.60/8,469.78 = 3,997.60/x
  3. Step 3: Cross multiply
    5,644.60x = 8,469.78 × 3,997.60
  4. Step 4: Simplify right side
    5,644.60x = 33,858,792.53
  5. Step 5: Solve for x
    x = 33,858,792.53/5,644.60
  6. Step 6: Final answer
    x = 5,998.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.