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Finding the Fourth Proportional to 4,002.38, 5,999.47 and 1,663.74

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Solution

The fourth proportional to 4,002.38, 5,999.47 and 1,663.74 is: 2,493.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.38 : 5,999.47 = 1,663.74 : x
  2. Step 2: Convert to fraction form
    4,002.38/5,999.47 = 1,663.74/x
  3. Step 3: Cross multiply
    4,002.38x = 5,999.47 × 1,663.74
  4. Step 4: Simplify right side
    4,002.38x = 9,981,578.31
  5. Step 5: Solve for x
    x = 9,981,578.31/4,002.38
  6. Step 6: Final answer
    x = 2,493.91

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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.