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Finding the Fourth Proportional to 5,196.68, 7,171.50 and 2,958.58

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Solution

The fourth proportional to 5,196.68, 7,171.50 and 2,958.58 is: 4,082.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.68 : 7,171.50 = 2,958.58 : x
  2. Step 2: Convert to fraction form
    5,196.68/7,171.50 = 2,958.58/x
  3. Step 3: Cross multiply
    5,196.68x = 7,171.50 × 2,958.58
  4. Step 4: Simplify right side
    5,196.68x = 21,217,456.47
  5. Step 5: Solve for x
    x = 21,217,456.47/5,196.68
  6. Step 6: Final answer
    x = 4,082.89

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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.