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Finding the Fourth Proportional to 5,972.28, 8,241.84 and 3,319.80

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Solution

The fourth proportional to 5,972.28, 8,241.84 and 3,319.80 is: 4,581.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.28 : 8,241.84 = 3,319.80 : x
  2. Step 2: Convert to fraction form
    5,972.28/8,241.84 = 3,319.80/x
  3. Step 3: Cross multiply
    5,972.28x = 8,241.84 × 3,319.80
  4. Step 4: Simplify right side
    5,972.28x = 27,361,260.43
  5. Step 5: Solve for x
    x = 27,361,260.43/5,972.28
  6. Step 6: Final answer
    x = 4,581.38

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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.