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Finding the Fourth Proportional to 4,114.80, 6,169.47 and 2,266.80

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Solution

The fourth proportional to 4,114.80, 6,169.47 and 2,266.80 is: 3,398.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.80 : 6,169.47 = 2,266.80 : x
  2. Step 2: Convert to fraction form
    4,114.80/6,169.47 = 2,266.80/x
  3. Step 3: Cross multiply
    4,114.80x = 6,169.47 × 2,266.80
  4. Step 4: Simplify right side
    4,114.80x = 13,984,954.60
  5. Step 5: Solve for x
    x = 13,984,954.60/4,114.80
  6. Step 6: Final answer
    x = 3,398.70

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