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Finding the Fourth Proportional to 4,981.82, 7,472.73 and 1,519.04

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Solution

The fourth proportional to 4,981.82, 7,472.73 and 1,519.04 is: 2,278.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,981.82 : 7,472.73 = 1,519.04 : x
  2. Step 2: Convert to fraction form
    4,981.82/7,472.73 = 1,519.04/x
  3. Step 3: Cross multiply
    4,981.82x = 7,472.73 × 1,519.04
  4. Step 4: Simplify right side
    4,981.82x = 11,351,375.78
  5. Step 5: Solve for x
    x = 11,351,375.78/4,981.82
  6. Step 6: Final answer
    x = 2,278.56

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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.