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Finding the Fourth Proportional to 3,857.28, 5,787.72 and 2,297.24

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Solution

The fourth proportional to 3,857.28, 5,787.72 and 2,297.24 is: 3,446.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.28 : 5,787.72 = 2,297.24 : x
  2. Step 2: Convert to fraction form
    3,857.28/5,787.72 = 2,297.24/x
  3. Step 3: Cross multiply
    3,857.28x = 5,787.72 × 2,297.24
  4. Step 4: Simplify right side
    3,857.28x = 13,295,781.89
  5. Step 5: Solve for x
    x = 13,295,781.89/3,857.28
  6. Step 6: Final answer
    x = 3,446.93

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