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Finding the Fourth Proportional to 5,324.82, 7,982.91 and 1,861.62

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Solution

The fourth proportional to 5,324.82, 7,982.91 and 1,861.62 is: 2,790.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.82 : 7,982.91 = 1,861.62 : x
  2. Step 2: Convert to fraction form
    5,324.82/7,982.91 = 1,861.62/x
  3. Step 3: Cross multiply
    5,324.82x = 7,982.91 × 1,861.62
  4. Step 4: Simplify right side
    5,324.82x = 14,861,144.91
  5. Step 5: Solve for x
    x = 14,861,144.91/5,324.82
  6. Step 6: Final answer
    x = 2,790.92

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Why These Related Problems?

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