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Finding the Fourth Proportional to 5,731.92, 7,909.54 and 3,213.62

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Solution

The fourth proportional to 5,731.92, 7,909.54 and 3,213.62 is: 4,434.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.92 : 7,909.54 = 3,213.62 : x
  2. Step 2: Convert to fraction form
    5,731.92/7,909.54 = 3,213.62/x
  3. Step 3: Cross multiply
    5,731.92x = 7,909.54 × 3,213.62
  4. Step 4: Simplify right side
    5,731.92x = 25,418,255.93
  5. Step 5: Solve for x
    x = 25,418,255.93/5,731.92
  6. Step 6: Final answer
    x = 4,434.51

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1.5x scale

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.