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Finding the Fourth Proportional to 6,517.70, 8,993.49 and 3,723.02

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Solution

The fourth proportional to 6,517.70, 8,993.49 and 3,723.02 is: 5,137.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.70 : 8,993.49 = 3,723.02 : x
  2. Step 2: Convert to fraction form
    6,517.70/8,993.49 = 3,723.02/x
  3. Step 3: Cross multiply
    6,517.70x = 8,993.49 × 3,723.02
  4. Step 4: Simplify right side
    6,517.70x = 33,482,943.14
  5. Step 5: Solve for x
    x = 33,482,943.14/6,517.70
  6. Step 6: Final answer
    x = 5,137.23

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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.