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Finding the Fourth Proportional to 5,189.50, 7,162.10 and 2,951.70

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Solution

The fourth proportional to 5,189.50, 7,162.10 and 2,951.70 is: 4,073.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.50 : 7,162.10 = 2,951.70 : x
  2. Step 2: Convert to fraction form
    5,189.50/7,162.10 = 2,951.70/x
  3. Step 3: Cross multiply
    5,189.50x = 7,162.10 × 2,951.70
  4. Step 4: Simplify right side
    5,189.50x = 21,140,370.57
  5. Step 5: Solve for x
    x = 21,140,370.57/5,189.50
  6. Step 6: Final answer
    x = 4,073.68

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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.