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Finding the Fourth Proportional to 3,816.48, 5,724.80 and 2,081.44

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Solution

The fourth proportional to 3,816.48, 5,724.80 and 2,081.44 is: 3,122.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.48 : 5,724.80 = 2,081.44 : x
  2. Step 2: Convert to fraction form
    3,816.48/5,724.80 = 2,081.44/x
  3. Step 3: Cross multiply
    3,816.48x = 5,724.80 × 2,081.44
  4. Step 4: Simplify right side
    3,816.48x = 11,915,827.71
  5. Step 5: Solve for x
    x = 11,915,827.71/3,816.48
  6. Step 6: Final answer
    x = 3,122.20

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