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Finding the Fourth Proportional to 3,486.10, 4,809.48 and 2,227.22

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Solution

The fourth proportional to 3,486.10, 4,809.48 and 2,227.22 is: 3,072.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.10 : 4,809.48 = 2,227.22 : x
  2. Step 2: Convert to fraction form
    3,486.10/4,809.48 = 2,227.22/x
  3. Step 3: Cross multiply
    3,486.10x = 4,809.48 × 2,227.22
  4. Step 4: Simplify right side
    3,486.10x = 10,711,770.05
  5. Step 5: Solve for x
    x = 10,711,770.05/3,486.10
  6. Step 6: Final answer
    x = 3,072.71

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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.