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Finding the Fourth Proportional to 3,609.49, 5,404.89 and 3,092.80

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Solution

The fourth proportional to 3,609.49, 5,404.89 and 3,092.80 is: 4,631.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.49 : 5,404.89 = 3,092.80 : x
  2. Step 2: Convert to fraction form
    3,609.49/5,404.89 = 3,092.80/x
  3. Step 3: Cross multiply
    3,609.49x = 5,404.89 × 3,092.80
  4. Step 4: Simplify right side
    3,609.49x = 16,716,243.79
  5. Step 5: Solve for x
    x = 16,716,243.79/3,609.49
  6. Step 6: Final answer
    x = 4,631.19

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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.