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Finding the Fourth Proportional to 3,959.15, 5,944.71 and 3,144.03

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Solution

The fourth proportional to 3,959.15, 5,944.71 and 3,144.03 is: 4,720.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.15 : 5,944.71 = 3,144.03 : x
  2. Step 2: Convert to fraction form
    3,959.15/5,944.71 = 3,144.03/x
  3. Step 3: Cross multiply
    3,959.15x = 5,944.71 × 3,144.03
  4. Step 4: Simplify right side
    3,959.15x = 18,690,336.08
  5. Step 5: Solve for x
    x = 18,690,336.08/3,959.15
  6. Step 6: Final answer
    x = 4,720.80

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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.