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Finding the Fourth Proportional to 3,978.42, 5,489.28 and 2,781.92

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Solution

The fourth proportional to 3,978.42, 5,489.28 and 2,781.92 is: 3,838.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.42 : 5,489.28 = 2,781.92 : x
  2. Step 2: Convert to fraction form
    3,978.42/5,489.28 = 2,781.92/x
  3. Step 3: Cross multiply
    3,978.42x = 5,489.28 × 2,781.92
  4. Step 4: Simplify right side
    3,978.42x = 15,270,710.37
  5. Step 5: Solve for x
    x = 15,270,710.37/3,978.42
  6. Step 6: Final answer
    x = 3,838.39

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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.