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Finding the Fourth Proportional to 3,769.63, 5,202.10 and 2,277.27

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Solution

The fourth proportional to 3,769.63, 5,202.10 and 2,277.27 is: 3,142.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.63 : 5,202.10 = 2,277.27 : x
  2. Step 2: Convert to fraction form
    3,769.63/5,202.10 = 2,277.27/x
  3. Step 3: Cross multiply
    3,769.63x = 5,202.10 × 2,277.27
  4. Step 4: Simplify right side
    3,769.63x = 11,846,580.57
  5. Step 5: Solve for x
    x = 11,846,580.57/3,769.63
  6. Step 6: Final answer
    x = 3,142.64

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