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Finding the Fourth Proportional to 5,886.92, 8,123.96 and 3,198.14

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Solution

The fourth proportional to 5,886.92, 8,123.96 and 3,198.14 is: 4,413.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.92 : 8,123.96 = 3,198.14 : x
  2. Step 2: Convert to fraction form
    5,886.92/8,123.96 = 3,198.14/x
  3. Step 3: Cross multiply
    5,886.92x = 8,123.96 × 3,198.14
  4. Step 4: Simplify right side
    5,886.92x = 25,981,561.43
  5. Step 5: Solve for x
    x = 25,981,561.43/5,886.92
  6. Step 6: Final answer
    x = 4,413.44

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1.5x scale

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.