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Finding the Fourth Proportional to 4,950, 7,418.50 and 2,759.76

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Solution

The fourth proportional to 4,950, 7,418.50 and 2,759.76 is: 4,136.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950 : 7,418.50 = 2,759.76 : x
  2. Step 2: Convert to fraction form
    4,950/7,418.50 = 2,759.76/x
  3. Step 3: Cross multiply
    4,950x = 7,418.50 × 2,759.76
  4. Step 4: Simplify right side
    4,950x = 20,473,279.56
  5. Step 5: Solve for x
    x = 20,473,279.56/4,950
  6. Step 6: Final answer
    x = 4,136.02

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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.