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Finding the Fourth Proportional to 3,835.20, 5,744.70 and 3,187.20

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Solution

The fourth proportional to 3,835.20, 5,744.70 and 3,187.20 is: 4,774.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.20 : 5,744.70 = 3,187.20 : x
  2. Step 2: Convert to fraction form
    3,835.20/5,744.70 = 3,187.20/x
  3. Step 3: Cross multiply
    3,835.20x = 5,744.70 × 3,187.20
  4. Step 4: Simplify right side
    3,835.20x = 18,309,507.84
  5. Step 5: Solve for x
    x = 18,309,507.84/3,835.20
  6. Step 6: Final answer
    x = 4,774.07

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