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Finding the Fourth Proportional to 5,196.69, 7,171.89 and 2,958.09

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Solution

The fourth proportional to 5,196.69, 7,171.89 and 2,958.09 is: 4,082.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.69 : 7,171.89 = 2,958.09 : x
  2. Step 2: Convert to fraction form
    5,196.69/7,171.89 = 2,958.09/x
  3. Step 3: Cross multiply
    5,196.69x = 7,171.89 × 2,958.09
  4. Step 4: Simplify right side
    5,196.69x = 21,215,096.09
  5. Step 5: Solve for x
    x = 21,215,096.09/5,196.69
  6. Step 6: Final answer
    x = 4,082.42

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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.