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Finding the Fourth Proportional to 3,940.20, 5,909.74 and 1,166.76

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Solution

The fourth proportional to 3,940.20, 5,909.74 and 1,166.76 is: 1,749.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.20 : 5,909.74 = 1,166.76 : x
  2. Step 2: Convert to fraction form
    3,940.20/5,909.74 = 1,166.76/x
  3. Step 3: Cross multiply
    3,940.20x = 5,909.74 × 1,166.76
  4. Step 4: Simplify right side
    3,940.20x = 6,895,245.33
  5. Step 5: Solve for x
    x = 6,895,245.33/3,940.20
  6. Step 6: Final answer
    x = 1,749.97

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