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Finding the Fourth Proportional to 6,211.50, 8,571.87 and 3,727.50

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Solution

The fourth proportional to 6,211.50, 8,571.87 and 3,727.50 is: 5,143.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.50 : 8,571.87 = 3,727.50 : x
  2. Step 2: Convert to fraction form
    6,211.50/8,571.87 = 3,727.50/x
  3. Step 3: Cross multiply
    6,211.50x = 8,571.87 × 3,727.50
  4. Step 4: Simplify right side
    6,211.50x = 31,951,645.43
  5. Step 5: Solve for x
    x = 31,951,645.43/6,211.50
  6. Step 6: Final answer
    x = 5,143.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.