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Finding the Fourth Proportional to 3,859.20, 5,786.64 and 1,261.92

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Solution

The fourth proportional to 3,859.20, 5,786.64 and 1,261.92 is: 1,892.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.20 : 5,786.64 = 1,261.92 : x
  2. Step 2: Convert to fraction form
    3,859.20/5,786.64 = 1,261.92/x
  3. Step 3: Cross multiply
    3,859.20x = 5,786.64 × 1,261.92
  4. Step 4: Simplify right side
    3,859.20x = 7,302,276.75
  5. Step 5: Solve for x
    x = 7,302,276.75/3,859.20
  6. Step 6: Final answer
    x = 1,892.17

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