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Finding the Fourth Proportional to 3,871.54, 5,342.72 and 2,103.18

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Solution

The fourth proportional to 3,871.54, 5,342.72 and 2,103.18 is: 2,902.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.54 : 5,342.72 = 2,103.18 : x
  2. Step 2: Convert to fraction form
    3,871.54/5,342.72 = 2,103.18/x
  3. Step 3: Cross multiply
    3,871.54x = 5,342.72 × 2,103.18
  4. Step 4: Simplify right side
    3,871.54x = 11,236,691.33
  5. Step 5: Solve for x
    x = 11,236,691.33/3,871.54
  6. Step 6: Final answer
    x = 2,902.39

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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.