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Finding the Fourth Proportional to 3,876.42, 5,340.42 and 2,695.44

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Solution

The fourth proportional to 3,876.42, 5,340.42 and 2,695.44 is: 3,713.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.42 : 5,340.42 = 2,695.44 : x
  2. Step 2: Convert to fraction form
    3,876.42/5,340.42 = 2,695.44/x
  3. Step 3: Cross multiply
    3,876.42x = 5,340.42 × 2,695.44
  4. Step 4: Simplify right side
    3,876.42x = 14,394,781.68
  5. Step 5: Solve for x
    x = 14,394,781.68/3,876.42
  6. Step 6: Final answer
    x = 3,713.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.