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Finding the Fourth Proportional to 5,474.17, 8,191.81 and 3,995.11

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Solution

The fourth proportional to 5,474.17, 8,191.81 and 3,995.11 is: 5,978.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.17 : 8,191.81 = 3,995.11 : x
  2. Step 2: Convert to fraction form
    5,474.17/8,191.81 = 3,995.11/x
  3. Step 3: Cross multiply
    5,474.17x = 8,191.81 × 3,995.11
  4. Step 4: Simplify right side
    5,474.17x = 32,727,182.05
  5. Step 5: Solve for x
    x = 32,727,182.05/5,474.17
  6. Step 6: Final answer
    x = 5,978.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.