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Finding the Fourth Proportional to 5,198.92, 7,798.38 and 1,736.44

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Solution

The fourth proportional to 5,198.92, 7,798.38 and 1,736.44 is: 2,604.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.92 : 7,798.38 = 1,736.44 : x
  2. Step 2: Convert to fraction form
    5,198.92/7,798.38 = 1,736.44/x
  3. Step 3: Cross multiply
    5,198.92x = 7,798.38 × 1,736.44
  4. Step 4: Simplify right side
    5,198.92x = 13,541,418.97
  5. Step 5: Solve for x
    x = 13,541,418.97/5,198.92
  6. Step 6: Final answer
    x = 2,604.66

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1.5x scale

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.