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Finding the Fourth Proportional to 3,104.82, 4,657.22 and 2,949.09

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Solution

The fourth proportional to 3,104.82, 4,657.22 and 2,949.09 is: 4,423.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.82 : 4,657.22 = 2,949.09 : x
  2. Step 2: Convert to fraction form
    3,104.82/4,657.22 = 2,949.09/x
  3. Step 3: Cross multiply
    3,104.82x = 4,657.22 × 2,949.09
  4. Step 4: Simplify right side
    3,104.82x = 13,734,546.18
  5. Step 5: Solve for x
    x = 13,734,546.18/3,104.82
  6. Step 6: Final answer
    x = 4,423.62

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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.