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Finding the Fourth Proportional to 6,190.80, 9,286.38 and 2,677.20

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Solution

The fourth proportional to 6,190.80, 9,286.38 and 2,677.20 is: 4,015.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.80 : 9,286.38 = 2,677.20 : x
  2. Step 2: Convert to fraction form
    6,190.80/9,286.38 = 2,677.20/x
  3. Step 3: Cross multiply
    6,190.80x = 9,286.38 × 2,677.20
  4. Step 4: Simplify right side
    6,190.80x = 24,861,496.54
  5. Step 5: Solve for x
    x = 24,861,496.54/6,190.80
  6. Step 6: Final answer
    x = 4,015.88

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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.