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Finding the Fourth Proportional to 3,869.82, 5,340.20 and 2,101.38

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Solution

The fourth proportional to 3,869.82, 5,340.20 and 2,101.38 is: 2,899.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.82 : 5,340.20 = 2,101.38 : x
  2. Step 2: Convert to fraction form
    3,869.82/5,340.20 = 2,101.38/x
  3. Step 3: Cross multiply
    3,869.82x = 5,340.20 × 2,101.38
  4. Step 4: Simplify right side
    3,869.82x = 11,221,778.97
  5. Step 5: Solve for x
    x = 11,221,778.97/3,869.82
  6. Step 6: Final answer
    x = 2,899.82

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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.