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Finding the Fourth Proportional to 5,446.62, 8,166.89 and 2,667.31

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Solution

The fourth proportional to 5,446.62, 8,166.89 and 2,667.31 is: 3,999.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.62 : 8,166.89 = 2,667.31 : x
  2. Step 2: Convert to fraction form
    5,446.62/8,166.89 = 2,667.31/x
  3. Step 3: Cross multiply
    5,446.62x = 8,166.89 × 2,667.31
  4. Step 4: Simplify right side
    5,446.62x = 21,783,613.62
  5. Step 5: Solve for x
    x = 21,783,613.62/5,446.62
  6. Step 6: Final answer
    x = 3,999.47

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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.