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Finding the Fourth Proportional to 3,789.75, 5,685.79 and 1,942.17

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Solution

The fourth proportional to 3,789.75, 5,685.79 and 1,942.17 is: 2,913.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.75 : 5,685.79 = 1,942.17 : x
  2. Step 2: Convert to fraction form
    3,789.75/5,685.79 = 1,942.17/x
  3. Step 3: Cross multiply
    3,789.75x = 5,685.79 × 1,942.17
  4. Step 4: Simplify right side
    3,789.75x = 11,042,770.76
  5. Step 5: Solve for x
    x = 11,042,770.76/3,789.75
  6. Step 6: Final answer
    x = 2,913.85

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