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Finding the Fourth Proportional to 5,992.14, 8,269.38 and 3,474.12

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Solution

The fourth proportional to 5,992.14, 8,269.38 and 3,474.12 is: 4,794.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992.14 : 8,269.38 = 3,474.12 : x
  2. Step 2: Convert to fraction form
    5,992.14/8,269.38 = 3,474.12/x
  3. Step 3: Cross multiply
    5,992.14x = 8,269.38 × 3,474.12
  4. Step 4: Simplify right side
    5,992.14x = 28,728,818.45
  5. Step 5: Solve for x
    x = 28,728,818.45/5,992.14
  6. Step 6: Final answer
    x = 4,794.42

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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.