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Finding the Fourth Proportional to 5,644.89, 8,469.36 and 2,524.64

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Solution

The fourth proportional to 5,644.89, 8,469.36 and 2,524.64 is: 3,787.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.89 : 8,469.36 = 2,524.64 : x
  2. Step 2: Convert to fraction form
    5,644.89/8,469.36 = 2,524.64/x
  3. Step 3: Cross multiply
    5,644.89x = 8,469.36 × 2,524.64
  4. Step 4: Simplify right side
    5,644.89x = 21,382,042.68
  5. Step 5: Solve for x
    x = 21,382,042.68/5,644.89
  6. Step 6: Final answer
    x = 3,787.86

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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.