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Finding the Fourth Proportional to 3,959.74, 5,939.62 and 1,493.90

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Solution

The fourth proportional to 3,959.74, 5,939.62 and 1,493.90 is: 2,240.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.74 : 5,939.62 = 1,493.90 : x
  2. Step 2: Convert to fraction form
    3,959.74/5,939.62 = 1,493.90/x
  3. Step 3: Cross multiply
    3,959.74x = 5,939.62 × 1,493.90
  4. Step 4: Simplify right side
    3,959.74x = 8,873,198.32
  5. Step 5: Solve for x
    x = 8,873,198.32/3,959.74
  6. Step 6: Final answer
    x = 2,240.85

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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.