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Finding the Fourth Proportional to 3,976.91, 5,958 and 2,000.24

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Solution

The fourth proportional to 3,976.91, 5,958 and 2,000.24 is: 2,996.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.91 : 5,958 = 2,000.24 : x
  2. Step 2: Convert to fraction form
    3,976.91/5,958 = 2,000.24/x
  3. Step 3: Cross multiply
    3,976.91x = 5,958 × 2,000.24
  4. Step 4: Simplify right side
    3,976.91x = 11,917,400.13
  5. Step 5: Solve for x
    x = 11,917,400.13/3,976.91
  6. Step 6: Final answer
    x = 2,996.65

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1.5x scale

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.