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Finding the Fourth Proportional to 3,839.68, 5,764.64 and 2,282.56

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Solution

The fourth proportional to 3,839.68, 5,764.64 and 2,282.56 is: 3,426.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.68 : 5,764.64 = 2,282.56 : x
  2. Step 2: Convert to fraction form
    3,839.68/5,764.64 = 2,282.56/x
  3. Step 3: Cross multiply
    3,839.68x = 5,764.64 × 2,282.56
  4. Step 4: Simplify right side
    3,839.68x = 13,158,136.68
  5. Step 5: Solve for x
    x = 13,158,136.68/3,839.68
  6. Step 6: Final answer
    x = 3,426.88

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