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Finding the Fourth Proportional to 5,797.22, 8,000.19 and 3,144.65

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Solution

The fourth proportional to 5,797.22, 8,000.19 and 3,144.65 is: 4,339.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.22 : 8,000.19 = 3,144.65 : x
  2. Step 2: Convert to fraction form
    5,797.22/8,000.19 = 3,144.65/x
  3. Step 3: Cross multiply
    5,797.22x = 8,000.19 × 3,144.65
  4. Step 4: Simplify right side
    5,797.22x = 25,157,757.48
  5. Step 5: Solve for x
    x = 25,157,757.48/5,797.22
  6. Step 6: Final answer
    x = 4,339.63

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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.