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Finding the Fourth Proportional to 3,885.67, 5,819.39 and 3,418.50

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Solution

The fourth proportional to 3,885.67, 5,819.39 and 3,418.50 is: 5,119.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.67 : 5,819.39 = 3,418.50 : x
  2. Step 2: Convert to fraction form
    3,885.67/5,819.39 = 3,418.50/x
  3. Step 3: Cross multiply
    3,885.67x = 5,819.39 × 3,418.50
  4. Step 4: Simplify right side
    3,885.67x = 19,893,553.07
  5. Step 5: Solve for x
    x = 19,893,553.07/3,885.67
  6. Step 6: Final answer
    x = 5,119.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.