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Finding the Fourth Proportional to 5,885.29, 8,120.82 and 3,367

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Solution

The fourth proportional to 5,885.29, 8,120.82 and 3,367 is: 4,645.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885.29 : 8,120.82 = 3,367 : x
  2. Step 2: Convert to fraction form
    5,885.29/8,120.82 = 3,367/x
  3. Step 3: Cross multiply
    5,885.29x = 8,120.82 × 3,367
  4. Step 4: Simplify right side
    5,885.29x = 27,342,800.94
  5. Step 5: Solve for x
    x = 27,342,800.94/5,885.29
  6. Step 6: Final answer
    x = 4,645.96

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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.