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Finding the Fourth Proportional to 4,882.11, 6,733.24 and 3,202.22

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Solution

The fourth proportional to 4,882.11, 6,733.24 and 3,202.22 is: 4,416.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.11 : 6,733.24 = 3,202.22 : x
  2. Step 2: Convert to fraction form
    4,882.11/6,733.24 = 3,202.22/x
  3. Step 3: Cross multiply
    4,882.11x = 6,733.24 × 3,202.22
  4. Step 4: Simplify right side
    4,882.11x = 21,561,315.79
  5. Step 5: Solve for x
    x = 21,561,315.79/4,882.11
  6. Step 6: Final answer
    x = 4,416.39

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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.