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Finding the Fourth Proportional to 3,765.06, 5,640.42 and 2,116.62

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Solution

The fourth proportional to 3,765.06, 5,640.42 and 2,116.62 is: 3,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.06 : 5,640.42 = 2,116.62 : x
  2. Step 2: Convert to fraction form
    3,765.06/5,640.42 = 2,116.62/x
  3. Step 3: Cross multiply
    3,765.06x = 5,640.42 × 2,116.62
  4. Step 4: Simplify right side
    3,765.06x = 11,938,625.78
  5. Step 5: Solve for x
    x = 11,938,625.78/3,765.06
  6. Step 6: Final answer
    x = 3,170.90

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