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Finding the Fourth Proportional to 6,584.80, 9,877.20 and 1,654.52

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Solution

The fourth proportional to 6,584.80, 9,877.20 and 1,654.52 is: 2,481.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.80 : 9,877.20 = 1,654.52 : x
  2. Step 2: Convert to fraction form
    6,584.80/9,877.20 = 1,654.52/x
  3. Step 3: Cross multiply
    6,584.80x = 9,877.20 × 1,654.52
  4. Step 4: Simplify right side
    6,584.80x = 16,342,024.94
  5. Step 5: Solve for x
    x = 16,342,024.94/6,584.80
  6. Step 6: Final answer
    x = 2,481.78

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