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Finding the Fourth Proportional to 3,896.16, 5,843.24 and 1,122.84

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Solution

The fourth proportional to 3,896.16, 5,843.24 and 1,122.84 is: 1,683.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.16 : 5,843.24 = 1,122.84 : x
  2. Step 2: Convert to fraction form
    3,896.16/5,843.24 = 1,122.84/x
  3. Step 3: Cross multiply
    3,896.16x = 5,843.24 × 1,122.84
  4. Step 4: Simplify right side
    3,896.16x = 6,561,023.60
  5. Step 5: Solve for x
    x = 6,561,023.60/3,896.16
  6. Step 6: Final answer
    x = 1,683.97

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