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Finding the Fourth Proportional to 3,876.97, 5,815.42 and 1,412.48

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Solution

The fourth proportional to 3,876.97, 5,815.42 and 1,412.48 is: 2,118.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.97 : 5,815.42 = 1,412.48 : x
  2. Step 2: Convert to fraction form
    3,876.97/5,815.42 = 1,412.48/x
  3. Step 3: Cross multiply
    3,876.97x = 5,815.42 × 1,412.48
  4. Step 4: Simplify right side
    3,876.97x = 8,214,164.44
  5. Step 5: Solve for x
    x = 8,214,164.44/3,876.97
  6. Step 6: Final answer
    x = 2,118.71

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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.