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Finding the Fourth Proportional to 5,965.84, 8,227.14 and 3,839.20

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Solution

The fourth proportional to 5,965.84, 8,227.14 and 3,839.20 is: 5,294.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.84 : 8,227.14 = 3,839.20 : x
  2. Step 2: Convert to fraction form
    5,965.84/8,227.14 = 3,839.20/x
  3. Step 3: Cross multiply
    5,965.84x = 8,227.14 × 3,839.20
  4. Step 4: Simplify right side
    5,965.84x = 31,585,635.89
  5. Step 5: Solve for x
    x = 31,585,635.89/5,965.84
  6. Step 6: Final answer
    x = 5,294.42

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1.5x scale

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.