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Finding the Fourth Proportional to 5,609.14, 7,741.31 and 3,250.82

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Solution

The fourth proportional to 5,609.14, 7,741.31 and 3,250.82 is: 4,486.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.14 : 7,741.31 = 3,250.82 : x
  2. Step 2: Convert to fraction form
    5,609.14/7,741.31 = 3,250.82/x
  3. Step 3: Cross multiply
    5,609.14x = 7,741.31 × 3,250.82
  4. Step 4: Simplify right side
    5,609.14x = 25,165,608.47
  5. Step 5: Solve for x
    x = 25,165,608.47/5,609.14
  6. Step 6: Final answer
    x = 4,486.54

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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.