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Finding the Fourth Proportional to 4,944.78, 7,418.24 and 1,481.76

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Solution

The fourth proportional to 4,944.78, 7,418.24 and 1,481.76 is: 2,222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.78 : 7,418.24 = 1,481.76 : x
  2. Step 2: Convert to fraction form
    4,944.78/7,418.24 = 1,481.76/x
  3. Step 3: Cross multiply
    4,944.78x = 7,418.24 × 1,481.76
  4. Step 4: Simplify right side
    4,944.78x = 10,992,051.30
  5. Step 5: Solve for x
    x = 10,992,051.30/4,944.78
  6. Step 6: Final answer
    x = 2,222.96

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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.