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Finding the Fourth Proportional to 3,827.82, 5,743.38 and 1,489.44

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Solution

The fourth proportional to 3,827.82, 5,743.38 and 1,489.44 is: 2,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.82 : 5,743.38 = 1,489.44 : x
  2. Step 2: Convert to fraction form
    3,827.82/5,743.38 = 1,489.44/x
  3. Step 3: Cross multiply
    3,827.82x = 5,743.38 × 1,489.44
  4. Step 4: Simplify right side
    3,827.82x = 8,554,419.91
  5. Step 5: Solve for x
    x = 8,554,419.91/3,827.82
  6. Step 6: Final answer
    x = 2,234.80

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