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Finding the Fourth Proportional to 3,640.98, 5,462.24 and 2,081.73

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Solution

The fourth proportional to 3,640.98, 5,462.24 and 2,081.73 is: 3,123.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.98 : 5,462.24 = 2,081.73 : x
  2. Step 2: Convert to fraction form
    3,640.98/5,462.24 = 2,081.73/x
  3. Step 3: Cross multiply
    3,640.98x = 5,462.24 × 2,081.73
  4. Step 4: Simplify right side
    3,640.98x = 11,370,898.47
  5. Step 5: Solve for x
    x = 11,370,898.47/3,640.98
  6. Step 6: Final answer
    x = 3,123.03

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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.