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Finding the Fourth Proportional to 3,141.92, 4,340.12 and 2,516.94

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Solution

The fourth proportional to 3,141.92, 4,340.12 and 2,516.94 is: 3,476.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.92 : 4,340.12 = 2,516.94 : x
  2. Step 2: Convert to fraction form
    3,141.92/4,340.12 = 2,516.94/x
  3. Step 3: Cross multiply
    3,141.92x = 4,340.12 × 2,516.94
  4. Step 4: Simplify right side
    3,141.92x = 10,923,809.05
  5. Step 5: Solve for x
    x = 10,923,809.05/3,141.92
  6. Step 6: Final answer
    x = 3,476.79

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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.