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Finding the Fourth Proportional to 3,842.97, 5,299.79 and 2,516.19

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Solution

The fourth proportional to 3,842.97, 5,299.79 and 2,516.19 is: 3,470.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.97 : 5,299.79 = 2,516.19 : x
  2. Step 2: Convert to fraction form
    3,842.97/5,299.79 = 2,516.19/x
  3. Step 3: Cross multiply
    3,842.97x = 5,299.79 × 2,516.19
  4. Step 4: Simplify right side
    3,842.97x = 13,335,278.60
  5. Step 5: Solve for x
    x = 13,335,278.60/3,842.97
  6. Step 6: Final answer
    x = 3,470.04

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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.