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Finding the Fourth Proportional to 3,817.74, 5,728.92 and 2,259.06

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Solution

The fourth proportional to 3,817.74, 5,728.92 and 2,259.06 is: 3,389.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.74 : 5,728.92 = 2,259.06 : x
  2. Step 2: Convert to fraction form
    3,817.74/5,728.92 = 2,259.06/x
  3. Step 3: Cross multiply
    3,817.74x = 5,728.92 × 2,259.06
  4. Step 4: Simplify right side
    3,817.74x = 12,941,974.02
  5. Step 5: Solve for x
    x = 12,941,974.02/3,817.74
  6. Step 6: Final answer
    x = 3,389.96

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