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Finding the Fourth Proportional to 5,213.10, 7,194 and 2,855.22

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Solution

The fourth proportional to 5,213.10, 7,194 and 2,855.22 is: 3,940.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.10 : 7,194 = 2,855.22 : x
  2. Step 2: Convert to fraction form
    5,213.10/7,194 = 2,855.22/x
  3. Step 3: Cross multiply
    5,213.10x = 7,194 × 2,855.22
  4. Step 4: Simplify right side
    5,213.10x = 20,540,452.68
  5. Step 5: Solve for x
    x = 20,540,452.68/5,213.10
  6. Step 6: Final answer
    x = 3,940.16

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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.