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Finding the Fourth Proportional to 5,180.61, 7,147.09 and 3,609.61

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Solution

The fourth proportional to 5,180.61, 7,147.09 and 3,609.61 is: 4,979.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.61 : 7,147.09 = 3,609.61 : x
  2. Step 2: Convert to fraction form
    5,180.61/7,147.09 = 3,609.61/x
  3. Step 3: Cross multiply
    5,180.61x = 7,147.09 × 3,609.61
  4. Step 4: Simplify right side
    5,180.61x = 25,798,207.53
  5. Step 5: Solve for x
    x = 25,798,207.53/5,180.61
  6. Step 6: Final answer
    x = 4,979.76

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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.