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Finding the Fourth Proportional to 3,942.43, 5,448.39 and 3,233.17

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Solution

The fourth proportional to 3,942.43, 5,448.39 and 3,233.17 is: 4,468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.43 : 5,448.39 = 3,233.17 : x
  2. Step 2: Convert to fraction form
    3,942.43/5,448.39 = 3,233.17/x
  3. Step 3: Cross multiply
    3,942.43x = 5,448.39 × 3,233.17
  4. Step 4: Simplify right side
    3,942.43x = 17,615,571.10
  5. Step 5: Solve for x
    x = 17,615,571.10/3,942.43
  6. Step 6: Final answer
    x = 4,468.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.