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Finding the Fourth Proportional to 3,968.49, 5,465.44 and 3,882.38

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Solution

The fourth proportional to 3,968.49, 5,465.44 and 3,882.38 is: 5,346.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.49 : 5,465.44 = 3,882.38 : x
  2. Step 2: Convert to fraction form
    3,968.49/5,465.44 = 3,882.38/x
  3. Step 3: Cross multiply
    3,968.49x = 5,465.44 × 3,882.38
  4. Step 4: Simplify right side
    3,968.49x = 21,218,923.22
  5. Step 5: Solve for x
    x = 21,218,923.22/3,968.49
  6. Step 6: Final answer
    x = 5,346.85

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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.