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Finding the Fourth Proportional to 3,859.91, 5,781.77 and 3,200.22

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Solution

The fourth proportional to 3,859.91, 5,781.77 and 3,200.22 is: 4,793.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.91 : 5,781.77 = 3,200.22 : x
  2. Step 2: Convert to fraction form
    3,859.91/5,781.77 = 3,200.22/x
  3. Step 3: Cross multiply
    3,859.91x = 5,781.77 × 3,200.22
  4. Step 4: Simplify right side
    3,859.91x = 18,502,935.99
  5. Step 5: Solve for x
    x = 18,502,935.99/3,859.91
  6. Step 6: Final answer
    x = 4,793.62

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