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Finding the Fourth Proportional to 3,896.12, 5,844.10 and 1,122.75

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Solution

The fourth proportional to 3,896.12, 5,844.10 and 1,122.75 is: 1,684.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.12 : 5,844.10 = 1,122.75 : x
  2. Step 2: Convert to fraction form
    3,896.12/5,844.10 = 1,122.75/x
  3. Step 3: Cross multiply
    3,896.12x = 5,844.10 × 1,122.75
  4. Step 4: Simplify right side
    3,896.12x = 6,561,463.28
  5. Step 5: Solve for x
    x = 6,561,463.28/3,896.12
  6. Step 6: Final answer
    x = 1,684.10

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