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Finding the Fourth Proportional to 3,838.97, 5,757.28 and 2,522.66

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Solution

The fourth proportional to 3,838.97, 5,757.28 and 2,522.66 is: 3,783.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.97 : 5,757.28 = 2,522.66 : x
  2. Step 2: Convert to fraction form
    3,838.97/5,757.28 = 2,522.66/x
  3. Step 3: Cross multiply
    3,838.97x = 5,757.28 × 2,522.66
  4. Step 4: Simplify right side
    3,838.97x = 14,523,624.87
  5. Step 5: Solve for x
    x = 14,523,624.87/3,838.97
  6. Step 6: Final answer
    x = 3,783.21

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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.