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Finding the Fourth Proportional to 5,222.70, 7,834.08 and 1,327.11

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Solution

The fourth proportional to 5,222.70, 7,834.08 and 1,327.11 is: 1,990.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.70 : 7,834.08 = 1,327.11 : x
  2. Step 2: Convert to fraction form
    5,222.70/7,834.08 = 1,327.11/x
  3. Step 3: Cross multiply
    5,222.70x = 7,834.08 × 1,327.11
  4. Step 4: Simplify right side
    5,222.70x = 10,396,685.91
  5. Step 5: Solve for x
    x = 10,396,685.91/5,222.70
  6. Step 6: Final answer
    x = 1,990.67

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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.