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Finding the Fourth Proportional to 5,213.25, 7,817.11 and 3,911.98

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Solution

The fourth proportional to 5,213.25, 7,817.11 and 3,911.98 is: 5,865.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.25 : 7,817.11 = 3,911.98 : x
  2. Step 2: Convert to fraction form
    5,213.25/7,817.11 = 3,911.98/x
  3. Step 3: Cross multiply
    5,213.25x = 7,817.11 × 3,911.98
  4. Step 4: Simplify right side
    5,213.25x = 30,580,377.98
  5. Step 5: Solve for x
    x = 30,580,377.98/5,213.25
  6. Step 6: Final answer
    x = 5,865.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.