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Finding the Fourth Proportional to 5,734.91, 7,914.50 and 3,217.82

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Solution

The fourth proportional to 5,734.91, 7,914.50 and 3,217.82 is: 4,440.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.91 : 7,914.50 = 3,217.82 : x
  2. Step 2: Convert to fraction form
    5,734.91/7,914.50 = 3,217.82/x
  3. Step 3: Cross multiply
    5,734.91x = 7,914.50 × 3,217.82
  4. Step 4: Simplify right side
    5,734.91x = 25,467,440.09
  5. Step 5: Solve for x
    x = 25,467,440.09/5,734.91
  6. Step 6: Final answer
    x = 4,440.77

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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.