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Finding the Fourth Proportional to 3,882.49, 5,357.67 and 2,114.11

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Solution

The fourth proportional to 3,882.49, 5,357.67 and 2,114.11 is: 2,917.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.49 : 5,357.67 = 2,114.11 : x
  2. Step 2: Convert to fraction form
    3,882.49/5,357.67 = 2,114.11/x
  3. Step 3: Cross multiply
    3,882.49x = 5,357.67 × 2,114.11
  4. Step 4: Simplify right side
    3,882.49x = 11,326,697.03
  5. Step 5: Solve for x
    x = 11,326,697.03/3,882.49
  6. Step 6: Final answer
    x = 2,917.38

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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.