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Finding the Fourth Proportional to 3,792.39, 5,691.17 and 2,327.07

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Solution

The fourth proportional to 3,792.39, 5,691.17 and 2,327.07 is: 3,492.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.39 : 5,691.17 = 2,327.07 : x
  2. Step 2: Convert to fraction form
    3,792.39/5,691.17 = 2,327.07/x
  3. Step 3: Cross multiply
    3,792.39x = 5,691.17 × 2,327.07
  4. Step 4: Simplify right side
    3,792.39x = 13,243,739.34
  5. Step 5: Solve for x
    x = 13,243,739.34/3,792.39
  6. Step 6: Final answer
    x = 3,492.19

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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.