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Finding the Fourth Proportional to 3,462.91, 5,213.07 and 3,161.59

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Solution

The fourth proportional to 3,462.91, 5,213.07 and 3,161.59 is: 4,759.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.91 : 5,213.07 = 3,161.59 : x
  2. Step 2: Convert to fraction form
    3,462.91/5,213.07 = 3,161.59/x
  3. Step 3: Cross multiply
    3,462.91x = 5,213.07 × 3,161.59
  4. Step 4: Simplify right side
    3,462.91x = 16,481,576.95
  5. Step 5: Solve for x
    x = 16,481,576.95/3,462.91
  6. Step 6: Final answer
    x = 4,759.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.