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Finding the Fourth Proportional to 4,192.67, 6,289.88 and 1,727.67

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Solution

The fourth proportional to 4,192.67, 6,289.88 and 1,727.67 is: 2,591.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192.67 : 6,289.88 = 1,727.67 : x
  2. Step 2: Convert to fraction form
    4,192.67/6,289.88 = 1,727.67/x
  3. Step 3: Cross multiply
    4,192.67x = 6,289.88 × 1,727.67
  4. Step 4: Simplify right side
    4,192.67x = 10,866,836.98
  5. Step 5: Solve for x
    x = 10,866,836.98/4,192.67
  6. Step 6: Final answer
    x = 2,591.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.