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Finding the Fourth Proportional to 4,817.24, 6,648.41 and 2,827.97

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Solution

The fourth proportional to 4,817.24, 6,648.41 and 2,827.97 is: 3,902.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,817.24 : 6,648.41 = 2,827.97 : x
  2. Step 2: Convert to fraction form
    4,817.24/6,648.41 = 2,827.97/x
  3. Step 3: Cross multiply
    4,817.24x = 6,648.41 × 2,827.97
  4. Step 4: Simplify right side
    4,817.24x = 18,801,456.65
  5. Step 5: Solve for x
    x = 18,801,456.65/4,817.24
  6. Step 6: Final answer
    x = 3,902.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.