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Finding the Fourth Proportional to 5,767.06, 8,654.37 and 3,171.82

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Solution

The fourth proportional to 5,767.06, 8,654.37 and 3,171.82 is: 4,759.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.06 : 8,654.37 = 3,171.82 : x
  2. Step 2: Convert to fraction form
    5,767.06/8,654.37 = 3,171.82/x
  3. Step 3: Cross multiply
    5,767.06x = 8,654.37 × 3,171.82
  4. Step 4: Simplify right side
    5,767.06x = 27,450,103.85
  5. Step 5: Solve for x
    x = 27,450,103.85/5,767.06
  6. Step 6: Final answer
    x = 4,759.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.