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Finding the Fourth Proportional to 3,879.75, 5,354.12 and 2,111.39

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Solution

The fourth proportional to 3,879.75, 5,354.12 and 2,111.39 is: 2,913.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.75 : 5,354.12 = 2,111.39 : x
  2. Step 2: Convert to fraction form
    3,879.75/5,354.12 = 2,111.39/x
  3. Step 3: Cross multiply
    3,879.75x = 5,354.12 × 2,111.39
  4. Step 4: Simplify right side
    3,879.75x = 11,304,613.93
  5. Step 5: Solve for x
    x = 11,304,613.93/3,879.75
  6. Step 6: Final answer
    x = 2,913.75

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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.