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Finding the Fourth Proportional to 3,766.67, 5,648.96 and 2,098.74

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Solution

The fourth proportional to 3,766.67, 5,648.96 and 2,098.74 is: 3,147.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.67 : 5,648.96 = 2,098.74 : x
  2. Step 2: Convert to fraction form
    3,766.67/5,648.96 = 2,098.74/x
  3. Step 3: Cross multiply
    3,766.67x = 5,648.96 × 2,098.74
  4. Step 4: Simplify right side
    3,766.67x = 11,855,687.82
  5. Step 5: Solve for x
    x = 11,855,687.82/3,766.67
  6. Step 6: Final answer
    x = 3,147.53

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Why These Related Problems?

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