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Finding the Fourth Proportional to 5,189.87, 7,162.22 and 2,951.96

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Solution

The fourth proportional to 5,189.87, 7,162.22 and 2,951.96 is: 4,073.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.87 : 7,162.22 = 2,951.96 : x
  2. Step 2: Convert to fraction form
    5,189.87/7,162.22 = 2,951.96/x
  3. Step 3: Cross multiply
    5,189.87x = 7,162.22 × 2,951.96
  4. Step 4: Simplify right side
    5,189.87x = 21,142,558.52
  5. Step 5: Solve for x
    x = 21,142,558.52/5,189.87
  6. Step 6: Final answer
    x = 4,073.81

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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.