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Finding the Fourth Proportional to 3,976.26, 5,965.05 and 1,344.01

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Solution

The fourth proportional to 3,976.26, 5,965.05 and 1,344.01 is: 2,016.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.26 : 5,965.05 = 1,344.01 : x
  2. Step 2: Convert to fraction form
    3,976.26/5,965.05 = 1,344.01/x
  3. Step 3: Cross multiply
    3,976.26x = 5,965.05 × 1,344.01
  4. Step 4: Simplify right side
    3,976.26x = 8,017,086.85
  5. Step 5: Solve for x
    x = 8,017,086.85/3,976.26
  6. Step 6: Final answer
    x = 2,016.24

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Why These Related Problems?

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