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Finding the Fourth Proportional to 3,836.20, 5,744.70 and 3,068.20

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Solution

The fourth proportional to 3,836.20, 5,744.70 and 3,068.20 is: 4,594.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.20 : 5,744.70 = 3,068.20 : x
  2. Step 2: Convert to fraction form
    3,836.20/5,744.70 = 3,068.20/x
  3. Step 3: Cross multiply
    3,836.20x = 5,744.70 × 3,068.20
  4. Step 4: Simplify right side
    3,836.20x = 17,625,888.54
  5. Step 5: Solve for x
    x = 17,625,888.54/3,836.20
  6. Step 6: Final answer
    x = 4,594.62

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