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Finding the Fourth Proportional to 4,249.89, 6,361.18 and 2,270.57

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Solution

The fourth proportional to 4,249.89, 6,361.18 and 2,270.57 is: 3,398.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,249.89 : 6,361.18 = 2,270.57 : x
  2. Step 2: Convert to fraction form
    4,249.89/6,361.18 = 2,270.57/x
  3. Step 3: Cross multiply
    4,249.89x = 6,361.18 × 2,270.57
  4. Step 4: Simplify right side
    4,249.89x = 14,443,504.47
  5. Step 5: Solve for x
    x = 14,443,504.47/4,249.89
  6. Step 6: Final answer
    x = 3,398.56

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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.