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Finding the Fourth Proportional to 5,902.27, 8,144.64 and 3,249.82

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Solution

The fourth proportional to 5,902.27, 8,144.64 and 3,249.82 is: 4,484.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.27 : 8,144.64 = 3,249.82 : x
  2. Step 2: Convert to fraction form
    5,902.27/8,144.64 = 3,249.82/x
  3. Step 3: Cross multiply
    5,902.27x = 8,144.64 × 3,249.82
  4. Step 4: Simplify right side
    5,902.27x = 26,468,613.96
  5. Step 5: Solve for x
    x = 26,468,613.96/5,902.27
  6. Step 6: Final answer
    x = 4,484.48

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