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Finding the Fourth Proportional to 3,976.69, 5,964.05 and 1,344.13

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Solution

The fourth proportional to 3,976.69, 5,964.05 and 1,344.13 is: 2,015.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.69 : 5,964.05 = 1,344.13 : x
  2. Step 2: Convert to fraction form
    3,976.69/5,964.05 = 1,344.13/x
  3. Step 3: Cross multiply
    3,976.69x = 5,964.05 × 1,344.13
  4. Step 4: Simplify right side
    3,976.69x = 8,016,475.27
  5. Step 5: Solve for x
    x = 8,016,475.27/3,976.69
  6. Step 6: Final answer
    x = 2,015.87

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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.