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Finding the Fourth Proportional to 3,490.56, 5,230.31 and 2,102.09

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Solution

The fourth proportional to 3,490.56, 5,230.31 and 2,102.09 is: 3,149.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.56 : 5,230.31 = 2,102.09 : x
  2. Step 2: Convert to fraction form
    3,490.56/5,230.31 = 2,102.09/x
  3. Step 3: Cross multiply
    3,490.56x = 5,230.31 × 2,102.09
  4. Step 4: Simplify right side
    3,490.56x = 10,994,545.69
  5. Step 5: Solve for x
    x = 10,994,545.69/3,490.56
  6. Step 6: Final answer
    x = 3,149.79

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