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Finding the Fourth Proportional to 5,226.86, 7,213.02 and 2,869

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Solution

The fourth proportional to 5,226.86, 7,213.02 and 2,869 is: 3,959.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.86 : 7,213.02 = 2,869 : x
  2. Step 2: Convert to fraction form
    5,226.86/7,213.02 = 2,869/x
  3. Step 3: Cross multiply
    5,226.86x = 7,213.02 × 2,869
  4. Step 4: Simplify right side
    5,226.86x = 20,694,154.38
  5. Step 5: Solve for x
    x = 20,694,154.38/5,226.86
  6. Step 6: Final answer
    x = 3,959.19

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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.