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Finding the Fourth Proportional to 4,949.73, 7,424.78 and 2,174.99

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Solution

The fourth proportional to 4,949.73, 7,424.78 and 2,174.99 is: 3,262.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.73 : 7,424.78 = 2,174.99 : x
  2. Step 2: Convert to fraction form
    4,949.73/7,424.78 = 2,174.99/x
  3. Step 3: Cross multiply
    4,949.73x = 7,424.78 × 2,174.99
  4. Step 4: Simplify right side
    4,949.73x = 16,148,774.25
  5. Step 5: Solve for x
    x = 16,148,774.25/4,949.73
  6. Step 6: Final answer
    x = 3,262.56

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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.