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Finding the Fourth Proportional to 4,249.67, 5,864.46 and 2,361.38

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Solution

The fourth proportional to 4,249.67, 5,864.46 and 2,361.38 is: 3,258.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,249.67 : 5,864.46 = 2,361.38 : x
  2. Step 2: Convert to fraction form
    4,249.67/5,864.46 = 2,361.38/x
  3. Step 3: Cross multiply
    4,249.67x = 5,864.46 × 2,361.38
  4. Step 4: Simplify right side
    4,249.67x = 13,848,218.55
  5. Step 5: Solve for x
    x = 13,848,218.55/4,249.67
  6. Step 6: Final answer
    x = 3,258.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.