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Finding the Fourth Proportional to 3,922.97, 5,877.77 and 2,169.18

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Solution

The fourth proportional to 3,922.97, 5,877.77 and 2,169.18 is: 3,250.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.97 : 5,877.77 = 2,169.18 : x
  2. Step 2: Convert to fraction form
    3,922.97/5,877.77 = 2,169.18/x
  3. Step 3: Cross multiply
    3,922.97x = 5,877.77 × 2,169.18
  4. Step 4: Simplify right side
    3,922.97x = 12,749,930.28
  5. Step 5: Solve for x
    x = 12,749,930.28/3,922.97
  6. Step 6: Final answer
    x = 3,250.07

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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.