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Finding the Fourth Proportional to 5,767.62, 7,958.67 and 3,249.68

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Solution

The fourth proportional to 5,767.62, 7,958.67 and 3,249.68 is: 4,484.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.62 : 7,958.67 = 3,249.68 : x
  2. Step 2: Convert to fraction form
    5,767.62/7,958.67 = 3,249.68/x
  3. Step 3: Cross multiply
    5,767.62x = 7,958.67 × 3,249.68
  4. Step 4: Simplify right side
    5,767.62x = 25,863,090.93
  5. Step 5: Solve for x
    x = 25,863,090.93/5,767.62
  6. Step 6: Final answer
    x = 4,484.19

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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.