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Finding the Fourth Proportional to 3,896.64, 5,844.89 and 1,123.20

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Solution

The fourth proportional to 3,896.64, 5,844.89 and 1,123.20 is: 1,684.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.64 : 5,844.89 = 1,123.20 : x
  2. Step 2: Convert to fraction form
    3,896.64/5,844.89 = 1,123.20/x
  3. Step 3: Cross multiply
    3,896.64x = 5,844.89 × 1,123.20
  4. Step 4: Simplify right side
    3,896.64x = 6,564,983.26
  5. Step 5: Solve for x
    x = 6,564,983.26/3,896.64
  6. Step 6: Final answer
    x = 1,684.78

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