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Finding the Fourth Proportional to 3,868.92, 5,337.42 and 2,296.20

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Solution

The fourth proportional to 3,868.92, 5,337.42 and 2,296.20 is: 3,167.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.92 : 5,337.42 = 2,296.20 : x
  2. Step 2: Convert to fraction form
    3,868.92/5,337.42 = 2,296.20/x
  3. Step 3: Cross multiply
    3,868.92x = 5,337.42 × 2,296.20
  4. Step 4: Simplify right side
    3,868.92x = 12,255,783.80
  5. Step 5: Solve for x
    x = 12,255,783.80/3,868.92
  6. Step 6: Final answer
    x = 3,167.75

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