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Finding the Fourth Proportional to 3,699.56, 5,546.38 and 2,137.78

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Solution

The fourth proportional to 3,699.56, 5,546.38 and 2,137.78 is: 3,204.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.56 : 5,546.38 = 2,137.78 : x
  2. Step 2: Convert to fraction form
    3,699.56/5,546.38 = 2,137.78/x
  3. Step 3: Cross multiply
    3,699.56x = 5,546.38 × 2,137.78
  4. Step 4: Simplify right side
    3,699.56x = 11,856,940.24
  5. Step 5: Solve for x
    x = 11,856,940.24/3,699.56
  6. Step 6: Final answer
    x = 3,204.96

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