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Finding the Fourth Proportional to 4,142.92, 5,717.46 and 2,744.68

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Solution

The fourth proportional to 4,142.92, 5,717.46 and 2,744.68 is: 3,787.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.92 : 5,717.46 = 2,744.68 : x
  2. Step 2: Convert to fraction form
    4,142.92/5,717.46 = 2,744.68/x
  3. Step 3: Cross multiply
    4,142.92x = 5,717.46 × 2,744.68
  4. Step 4: Simplify right side
    4,142.92x = 15,692,598.11
  5. Step 5: Solve for x
    x = 15,692,598.11/4,142.92
  6. Step 6: Final answer
    x = 3,787.81

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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.