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Finding the Fourth Proportional to 3,849.84, 5,768.88 and 2,286.76

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Solution

The fourth proportional to 3,849.84, 5,768.88 and 2,286.76 is: 3,426.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.84 : 5,768.88 = 2,286.76 : x
  2. Step 2: Convert to fraction form
    3,849.84/5,768.88 = 2,286.76/x
  3. Step 3: Cross multiply
    3,849.84x = 5,768.88 × 2,286.76
  4. Step 4: Simplify right side
    3,849.84x = 13,192,044.03
  5. Step 5: Solve for x
    x = 13,192,044.03/3,849.84
  6. Step 6: Final answer
    x = 3,426.65

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