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Finding the Fourth Proportional to 4,097.80, 6,146.70 and 3,896.20

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Solution

The fourth proportional to 4,097.80, 6,146.70 and 3,896.20 is: 5,844.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.80 : 6,146.70 = 3,896.20 : x
  2. Step 2: Convert to fraction form
    4,097.80/6,146.70 = 3,896.20/x
  3. Step 3: Cross multiply
    4,097.80x = 6,146.70 × 3,896.20
  4. Step 4: Simplify right side
    4,097.80x = 23,948,772.54
  5. Step 5: Solve for x
    x = 23,948,772.54/4,097.80
  6. Step 6: Final answer
    x = 5,844.30

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