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Finding the Fourth Proportional to 4,974.69, 7,446.27 and 3,305.52

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Solution

The fourth proportional to 4,974.69, 7,446.27 and 3,305.52 is: 4,947.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.69 : 7,446.27 = 3,305.52 : x
  2. Step 2: Convert to fraction form
    4,974.69/7,446.27 = 3,305.52/x
  3. Step 3: Cross multiply
    4,974.69x = 7,446.27 × 3,305.52
  4. Step 4: Simplify right side
    4,974.69x = 24,613,794.41
  5. Step 5: Solve for x
    x = 24,613,794.41/4,974.69
  6. Step 6: Final answer
    x = 4,947.80

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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.