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Finding the Fourth Proportional to 2,843.92, 4,257.77 and 2,565.28

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Solution

The fourth proportional to 2,843.92, 4,257.77 and 2,565.28 is: 3,840.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.92 : 4,257.77 = 2,565.28 : x
  2. Step 2: Convert to fraction form
    2,843.92/4,257.77 = 2,565.28/x
  3. Step 3: Cross multiply
    2,843.92x = 4,257.77 × 2,565.28
  4. Step 4: Simplify right side
    2,843.92x = 10,922,350.94
  5. Step 5: Solve for x
    x = 10,922,350.94/2,843.92
  6. Step 6: Final answer
    x = 3,840.60

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