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Finding the Fourth Proportional to 5,833.14, 8,044.41 and 3,842.97

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Solution

The fourth proportional to 5,833.14, 8,044.41 and 3,842.97 is: 5,299.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833.14 : 8,044.41 = 3,842.97 : x
  2. Step 2: Convert to fraction form
    5,833.14/8,044.41 = 3,842.97/x
  3. Step 3: Cross multiply
    5,833.14x = 8,044.41 × 3,842.97
  4. Step 4: Simplify right side
    5,833.14x = 30,914,426.30
  5. Step 5: Solve for x
    x = 30,914,426.30/5,833.14
  6. Step 6: Final answer
    x = 5,299.79

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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.