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Finding the Fourth Proportional to 5,608.26, 7,738.98 and 3,249.96

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Solution

The fourth proportional to 5,608.26, 7,738.98 and 3,249.96 is: 4,484.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,608.26 : 7,738.98 = 3,249.96 : x
  2. Step 2: Convert to fraction form
    5,608.26/7,738.98 = 3,249.96/x
  3. Step 3: Cross multiply
    5,608.26x = 7,738.98 × 3,249.96
  4. Step 4: Simplify right side
    5,608.26x = 25,151,375.44
  5. Step 5: Solve for x
    x = 25,151,375.44/5,608.26
  6. Step 6: Final answer
    x = 4,484.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.