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Finding the Fourth Proportional to 4,082.43, 5,632.38 and 2,823.03

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Solution

The fourth proportional to 4,082.43, 5,632.38 and 2,823.03 is: 3,894.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082.43 : 5,632.38 = 2,823.03 : x
  2. Step 2: Convert to fraction form
    4,082.43/5,632.38 = 2,823.03/x
  3. Step 3: Cross multiply
    4,082.43x = 5,632.38 × 2,823.03
  4. Step 4: Simplify right side
    4,082.43x = 15,900,377.71
  5. Step 5: Solve for x
    x = 15,900,377.71/4,082.43
  6. Step 6: Final answer
    x = 3,894.83

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Why These Related Problems?

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