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Finding the Fourth Proportional to 4,930.82, 7,392.56 and 2,982.56

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Solution

The fourth proportional to 4,930.82, 7,392.56 and 2,982.56 is: 4,471.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.82 : 7,392.56 = 2,982.56 : x
  2. Step 2: Convert to fraction form
    4,930.82/7,392.56 = 2,982.56/x
  3. Step 3: Cross multiply
    4,930.82x = 7,392.56 × 2,982.56
  4. Step 4: Simplify right side
    4,930.82x = 22,048,753.75
  5. Step 5: Solve for x
    x = 22,048,753.75/4,930.82
  6. Step 6: Final answer
    x = 4,471.62

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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.