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Finding the Fourth Proportional to 3,902.86, 5,385.95 and 2,201.39

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Solution

The fourth proportional to 3,902.86, 5,385.95 and 2,201.39 is: 3,037.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.86 : 5,385.95 = 2,201.39 : x
  2. Step 2: Convert to fraction form
    3,902.86/5,385.95 = 2,201.39/x
  3. Step 3: Cross multiply
    3,902.86x = 5,385.95 × 2,201.39
  4. Step 4: Simplify right side
    3,902.86x = 11,856,549.54
  5. Step 5: Solve for x
    x = 11,856,549.54/3,902.86
  6. Step 6: Final answer
    x = 3,037.92

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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.