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Finding the Fourth Proportional to 3,864.14, 5,798.80 and 1,523.88

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Solution

The fourth proportional to 3,864.14, 5,798.80 and 1,523.88 is: 2,286.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.14 : 5,798.80 = 1,523.88 : x
  2. Step 2: Convert to fraction form
    3,864.14/5,798.80 = 1,523.88/x
  3. Step 3: Cross multiply
    3,864.14x = 5,798.80 × 1,523.88
  4. Step 4: Simplify right side
    3,864.14x = 8,836,677.25
  5. Step 5: Solve for x
    x = 8,836,677.25/3,864.14
  6. Step 6: Final answer
    x = 2,286.84

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