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Finding the Fourth Proportional to 5,366.80, 8,049.30 and 1,471.24

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Solution

The fourth proportional to 5,366.80, 8,049.30 and 1,471.24 is: 2,206.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,366.80 : 8,049.30 = 1,471.24 : x
  2. Step 2: Convert to fraction form
    5,366.80/8,049.30 = 1,471.24/x
  3. Step 3: Cross multiply
    5,366.80x = 8,049.30 × 1,471.24
  4. Step 4: Simplify right side
    5,366.80x = 11,842,452.13
  5. Step 5: Solve for x
    x = 11,842,452.13/5,366.80
  6. Step 6: Final answer
    x = 2,206.61

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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.