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Finding the Fourth Proportional to 5,086, 7,016.19 and 3,196.63

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Solution

The fourth proportional to 5,086, 7,016.19 and 3,196.63 is: 4,409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086 : 7,016.19 = 3,196.63 : x
  2. Step 2: Convert to fraction form
    5,086/7,016.19 = 3,196.63/x
  3. Step 3: Cross multiply
    5,086x = 7,016.19 × 3,196.63
  4. Step 4: Simplify right side
    5,086x = 22,428,163.44
  5. Step 5: Solve for x
    x = 22,428,163.44/5,086
  6. Step 6: Final answer
    x = 4,409.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.