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Finding the Fourth Proportional to 3,792.23, 5,691.74 and 2,408.04

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Solution

The fourth proportional to 3,792.23, 5,691.74 and 2,408.04 is: 3,614.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.23 : 5,691.74 = 2,408.04 : x
  2. Step 2: Convert to fraction form
    3,792.23/5,691.74 = 2,408.04/x
  3. Step 3: Cross multiply
    3,792.23x = 5,691.74 × 2,408.04
  4. Step 4: Simplify right side
    3,792.23x = 13,705,951.82
  5. Step 5: Solve for x
    x = 13,705,951.82/3,792.23
  6. Step 6: Final answer
    x = 3,614.22

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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.