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Finding the Fourth Proportional to 4,361.28, 6,014 and 4,019.44

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Solution

The fourth proportional to 4,361.28, 6,014 and 4,019.44 is: 5,542.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,361.28 : 6,014 = 4,019.44 : x
  2. Step 2: Convert to fraction form
    4,361.28/6,014 = 4,019.44/x
  3. Step 3: Cross multiply
    4,361.28x = 6,014 × 4,019.44
  4. Step 4: Simplify right side
    4,361.28x = 24,172,912.16
  5. Step 5: Solve for x
    x = 24,172,912.16/4,361.28
  6. Step 6: Final answer
    x = 5,542.62

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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.