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Finding the Fourth Proportional to 3,538.92, 5,311.22 and 1,896.64

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Solution

The fourth proportional to 3,538.92, 5,311.22 and 1,896.64 is: 2,846.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.92 : 5,311.22 = 1,896.64 : x
  2. Step 2: Convert to fraction form
    3,538.92/5,311.22 = 1,896.64/x
  3. Step 3: Cross multiply
    3,538.92x = 5,311.22 × 1,896.64
  4. Step 4: Simplify right side
    3,538.92x = 10,073,472.30
  5. Step 5: Solve for x
    x = 10,073,472.30/3,538.92
  6. Step 6: Final answer
    x = 2,846.48

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