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Finding the Fourth Proportional to 4,974.62, 7,458.13 and 3,221.37

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Solution

The fourth proportional to 4,974.62, 7,458.13 and 3,221.37 is: 4,829.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.62 : 7,458.13 = 3,221.37 : x
  2. Step 2: Convert to fraction form
    4,974.62/7,458.13 = 3,221.37/x
  3. Step 3: Cross multiply
    4,974.62x = 7,458.13 × 3,221.37
  4. Step 4: Simplify right side
    4,974.62x = 24,025,382.14
  5. Step 5: Solve for x
    x = 24,025,382.14/4,974.62
  6. Step 6: Final answer
    x = 4,829.60

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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.