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Finding the Fourth Proportional to 3,768.27, 5,644.43 and 2,380.89

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Solution

The fourth proportional to 3,768.27, 5,644.43 and 2,380.89 is: 3,566.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.27 : 5,644.43 = 2,380.89 : x
  2. Step 2: Convert to fraction form
    3,768.27/5,644.43 = 2,380.89/x
  3. Step 3: Cross multiply
    3,768.27x = 5,644.43 × 2,380.89
  4. Step 4: Simplify right side
    3,768.27x = 13,438,755.04
  5. Step 5: Solve for x
    x = 13,438,755.04/3,768.27
  6. Step 6: Final answer
    x = 3,566.29

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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.