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Finding the Fourth Proportional to 3,589, 4,952.99 and 2,017.11

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Solution

The fourth proportional to 3,589, 4,952.99 and 2,017.11 is: 2,783.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589 : 4,952.99 = 2,017.11 : x
  2. Step 2: Convert to fraction form
    3,589/4,952.99 = 2,017.11/x
  3. Step 3: Cross multiply
    3,589x = 4,952.99 × 2,017.11
  4. Step 4: Simplify right side
    3,589x = 9,990,725.66
  5. Step 5: Solve for x
    x = 9,990,725.66/3,589
  6. Step 6: Final answer
    x = 2,783.71

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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.