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Finding the Fourth Proportional to 3,796.14, 5,694.41 and 1,198.88

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Solution

The fourth proportional to 3,796.14, 5,694.41 and 1,198.88 is: 1,798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.14 : 5,694.41 = 1,198.88 : x
  2. Step 2: Convert to fraction form
    3,796.14/5,694.41 = 1,198.88/x
  3. Step 3: Cross multiply
    3,796.14x = 5,694.41 × 1,198.88
  4. Step 4: Simplify right side
    3,796.14x = 6,826,888.79
  5. Step 5: Solve for x
    x = 6,826,888.79/3,796.14
  6. Step 6: Final answer
    x = 1,798.38

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