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Finding the Fourth Proportional to 3,634.88, 5,016.13 and 1,978.88

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Solution

The fourth proportional to 3,634.88, 5,016.13 and 1,978.88 is: 2,730.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.88 : 5,016.13 = 1,978.88 : x
  2. Step 2: Convert to fraction form
    3,634.88/5,016.13 = 1,978.88/x
  3. Step 3: Cross multiply
    3,634.88x = 5,016.13 × 1,978.88
  4. Step 4: Simplify right side
    3,634.88x = 9,926,289.31
  5. Step 5: Solve for x
    x = 9,926,289.31/3,634.88
  6. Step 6: Final answer
    x = 2,730.85

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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.