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Finding the Fourth Proportional to 3,822.86, 5,724.57 and 3,502.10

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Solution

The fourth proportional to 3,822.86, 5,724.57 and 3,502.10 is: 5,244.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.86 : 5,724.57 = 3,502.10 : x
  2. Step 2: Convert to fraction form
    3,822.86/5,724.57 = 3,502.10/x
  3. Step 3: Cross multiply
    3,822.86x = 5,724.57 × 3,502.10
  4. Step 4: Simplify right side
    3,822.86x = 20,048,016.60
  5. Step 5: Solve for x
    x = 20,048,016.60/3,822.86
  6. Step 6: Final answer
    x = 5,244.25

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