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Finding the Fourth Proportional to 5,028.62, 7,542.94 and 2,839.20

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Solution

The fourth proportional to 5,028.62, 7,542.94 and 2,839.20 is: 4,258.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,028.62 : 7,542.94 = 2,839.20 : x
  2. Step 2: Convert to fraction form
    5,028.62/7,542.94 = 2,839.20/x
  3. Step 3: Cross multiply
    5,028.62x = 7,542.94 × 2,839.20
  4. Step 4: Simplify right side
    5,028.62x = 21,415,915.25
  5. Step 5: Solve for x
    x = 21,415,915.25/5,028.62
  6. Step 6: Final answer
    x = 4,258.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.