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Finding the Fourth Proportional to 3,835.92, 5,753.76 and 3,213.84

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Solution

The fourth proportional to 3,835.92, 5,753.76 and 3,213.84 is: 4,820.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.92 : 5,753.76 = 3,213.84 : x
  2. Step 2: Convert to fraction form
    3,835.92/5,753.76 = 3,213.84/x
  3. Step 3: Cross multiply
    3,835.92x = 5,753.76 × 3,213.84
  4. Step 4: Simplify right side
    3,835.92x = 18,491,664.04
  5. Step 5: Solve for x
    x = 18,491,664.04/3,835.92
  6. Step 6: Final answer
    x = 4,820.66

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