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Finding the Fourth Proportional to 3,976.97, 5,965.44 and 2,221.67

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Solution

The fourth proportional to 3,976.97, 5,965.44 and 2,221.67 is: 3,332.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.97 : 5,965.44 = 2,221.67 : x
  2. Step 2: Convert to fraction form
    3,976.97/5,965.44 = 2,221.67/x
  3. Step 3: Cross multiply
    3,976.97x = 5,965.44 × 2,221.67
  4. Step 4: Simplify right side
    3,976.97x = 13,253,209.26
  5. Step 5: Solve for x
    x = 13,253,209.26/3,976.97
  6. Step 6: Final answer
    x = 3,332.49

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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.