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Finding the Fourth Proportional to 3,589, 4,952.90 and 2,192.52

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Solution

The fourth proportional to 3,589, 4,952.90 and 2,192.52 is: 3,025.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589 : 4,952.90 = 2,192.52 : x
  2. Step 2: Convert to fraction form
    3,589/4,952.90 = 2,192.52/x
  3. Step 3: Cross multiply
    3,589x = 4,952.90 × 2,192.52
  4. Step 4: Simplify right side
    3,589x = 10,859,332.31
  5. Step 5: Solve for x
    x = 10,859,332.31/3,589
  6. Step 6: Final answer
    x = 3,025.73

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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.