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Finding the Fourth Proportional to 5,180.96, 7,769.39 and 2,257.22

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Solution

The fourth proportional to 5,180.96, 7,769.39 and 2,257.22 is: 3,384.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.96 : 7,769.39 = 2,257.22 : x
  2. Step 2: Convert to fraction form
    5,180.96/7,769.39 = 2,257.22/x
  3. Step 3: Cross multiply
    5,180.96x = 7,769.39 × 2,257.22
  4. Step 4: Simplify right side
    5,180.96x = 17,537,247.56
  5. Step 5: Solve for x
    x = 17,537,247.56/5,180.96
  6. Step 6: Final answer
    x = 3,384.94

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