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Finding the Fourth Proportional to 3,429.86, 5,144.74 and 832.82

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Solution

The fourth proportional to 3,429.86, 5,144.74 and 832.82 is: 1,249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.86 : 5,144.74 = 832.82 : x
  2. Step 2: Convert to fraction form
    3,429.86/5,144.74 = 832.82/x
  3. Step 3: Cross multiply
    3,429.86x = 5,144.74 × 832.82
  4. Step 4: Simplify right side
    3,429.86x = 4,284,614.56
  5. Step 5: Solve for x
    x = 4,284,614.56/3,429.86
  6. Step 6: Final answer
    x = 1,249.21

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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.