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Finding the Fourth Proportional to 3,165.74, 4,748.80 and 2,286.26

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Solution

The fourth proportional to 3,165.74, 4,748.80 and 2,286.26 is: 3,429.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.74 : 4,748.80 = 2,286.26 : x
  2. Step 2: Convert to fraction form
    3,165.74/4,748.80 = 2,286.26/x
  3. Step 3: Cross multiply
    3,165.74x = 4,748.80 × 2,286.26
  4. Step 4: Simplify right side
    3,165.74x = 10,856,991.49
  5. Step 5: Solve for x
    x = 10,856,991.49/3,165.74
  6. Step 6: Final answer
    x = 3,429.53

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