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Finding the Fourth Proportional to 3,845.92, 5,760.88 and 2,306.08

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Solution

The fourth proportional to 3,845.92, 5,760.88 and 2,306.08 is: 3,454.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.92 : 5,760.88 = 2,306.08 : x
  2. Step 2: Convert to fraction form
    3,845.92/5,760.88 = 2,306.08/x
  3. Step 3: Cross multiply
    3,845.92x = 5,760.88 × 2,306.08
  4. Step 4: Simplify right side
    3,845.92x = 13,285,050.15
  5. Step 5: Solve for x
    x = 13,285,050.15/3,845.92
  6. Step 6: Final answer
    x = 3,454.32

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