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Finding the Fourth Proportional to 5,836.30, 8,057.04 and 3,713.97

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Solution

The fourth proportional to 5,836.30, 8,057.04 and 3,713.97 is: 5,127.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.30 : 8,057.04 = 3,713.97 : x
  2. Step 2: Convert to fraction form
    5,836.30/8,057.04 = 3,713.97/x
  3. Step 3: Cross multiply
    5,836.30x = 8,057.04 × 3,713.97
  4. Step 4: Simplify right side
    5,836.30x = 29,923,604.85
  5. Step 5: Solve for x
    x = 29,923,604.85/5,836.30
  6. Step 6: Final answer
    x = 5,127.15

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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.