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Finding the Fourth Proportional to 5,072.30, 7,609.16 and 2,299.67

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Solution

The fourth proportional to 5,072.30, 7,609.16 and 2,299.67 is: 3,449.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.30 : 7,609.16 = 2,299.67 : x
  2. Step 2: Convert to fraction form
    5,072.30/7,609.16 = 2,299.67/x
  3. Step 3: Cross multiply
    5,072.30x = 7,609.16 × 2,299.67
  4. Step 4: Simplify right side
    5,072.30x = 17,498,556.98
  5. Step 5: Solve for x
    x = 17,498,556.98/5,072.30
  6. Step 6: Final answer
    x = 3,449.83

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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.