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Finding the Fourth Proportional to 6,942.82, 9,581.01 and 3,799

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Solution

The fourth proportional to 6,942.82, 9,581.01 and 3,799 is: 5,242.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.82 : 9,581.01 = 3,799 : x
  2. Step 2: Convert to fraction form
    6,942.82/9,581.01 = 3,799/x
  3. Step 3: Cross multiply
    6,942.82x = 9,581.01 × 3,799
  4. Step 4: Simplify right side
    6,942.82x = 36,398,256.99
  5. Step 5: Solve for x
    x = 36,398,256.99/6,942.82
  6. Step 6: Final answer
    x = 5,242.58

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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.