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Finding the Fourth Proportional to 3,589.22, 5,383.49 and 1,248.66

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Solution

The fourth proportional to 3,589.22, 5,383.49 and 1,248.66 is: 1,872.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.22 : 5,383.49 = 1,248.66 : x
  2. Step 2: Convert to fraction form
    3,589.22/5,383.49 = 1,248.66/x
  3. Step 3: Cross multiply
    3,589.22x = 5,383.49 × 1,248.66
  4. Step 4: Simplify right side
    3,589.22x = 6,722,142.38
  5. Step 5: Solve for x
    x = 6,722,142.38/3,589.22
  6. Step 6: Final answer
    x = 1,872.87

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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.