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Finding the Fourth Proportional to 3,656.75, 5,046.33 and 1,978.17

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Solution

The fourth proportional to 3,656.75, 5,046.33 and 1,978.17 is: 2,729.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.75 : 5,046.33 = 1,978.17 : x
  2. Step 2: Convert to fraction form
    3,656.75/5,046.33 = 1,978.17/x
  3. Step 3: Cross multiply
    3,656.75x = 5,046.33 × 1,978.17
  4. Step 4: Simplify right side
    3,656.75x = 9,982,488.73
  5. Step 5: Solve for x
    x = 9,982,488.73/3,656.75
  6. Step 6: Final answer
    x = 2,729.88

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