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Finding the Fourth Proportional to 5,589, 7,716.06 and 3,729.24

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Solution

The fourth proportional to 5,589, 7,716.06 and 3,729.24 is: 5,148.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589 : 7,716.06 = 3,729.24 : x
  2. Step 2: Convert to fraction form
    5,589/7,716.06 = 3,729.24/x
  3. Step 3: Cross multiply
    5,589x = 7,716.06 × 3,729.24
  4. Step 4: Simplify right side
    5,589x = 28,775,039.59
  5. Step 5: Solve for x
    x = 28,775,039.59/5,589
  6. Step 6: Final answer
    x = 5,148.51

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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.