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Finding the Fourth Proportional to 5,149.54, 7,721.61 and 1,638.46

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Solution

The fourth proportional to 5,149.54, 7,721.61 and 1,638.46 is: 2,456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.54 : 7,721.61 = 1,638.46 : x
  2. Step 2: Convert to fraction form
    5,149.54/7,721.61 = 1,638.46/x
  3. Step 3: Cross multiply
    5,149.54x = 7,721.61 × 1,638.46
  4. Step 4: Simplify right side
    5,149.54x = 12,651,549.12
  5. Step 5: Solve for x
    x = 12,651,549.12/5,149.54
  6. Step 6: Final answer
    x = 2,456.83

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