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Finding the Fourth Proportional to 5,609.89, 7,741.69 and 3,092.09

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Solution

The fourth proportional to 5,609.89, 7,741.69 and 3,092.09 is: 4,267.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.89 : 7,741.69 = 3,092.09 : x
  2. Step 2: Convert to fraction form
    5,609.89/7,741.69 = 3,092.09/x
  3. Step 3: Cross multiply
    5,609.89x = 7,741.69 × 3,092.09
  4. Step 4: Simplify right side
    5,609.89x = 23,938,016.73
  5. Step 5: Solve for x
    x = 23,938,016.73/5,609.89
  6. Step 6: Final answer
    x = 4,267.11

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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.