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Finding the Fourth Proportional to 3,589, 4,952.82 and 2,192.02

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Solution

The fourth proportional to 3,589, 4,952.82 and 2,192.02 is: 3,024.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589 : 4,952.82 = 2,192.02 : x
  2. Step 2: Convert to fraction form
    3,589/4,952.82 = 2,192.02/x
  3. Step 3: Cross multiply
    3,589x = 4,952.82 × 2,192.02
  4. Step 4: Simplify right side
    3,589x = 10,856,680.50
  5. Step 5: Solve for x
    x = 10,856,680.50/3,589
  6. Step 6: Final answer
    x = 3,024.99

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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.