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Finding the Fourth Proportional to 5,223.74, 7,841.31 and 2,105.90

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Solution

The fourth proportional to 5,223.74, 7,841.31 and 2,105.90 is: 3,161.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.74 : 7,841.31 = 2,105.90 : x
  2. Step 2: Convert to fraction form
    5,223.74/7,841.31 = 2,105.90/x
  3. Step 3: Cross multiply
    5,223.74x = 7,841.31 × 2,105.90
  4. Step 4: Simplify right side
    5,223.74x = 16,512,997.03
  5. Step 5: Solve for x
    x = 16,512,997.03/5,223.74
  6. Step 6: Final answer
    x = 3,161.14

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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.