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Finding the Fourth Proportional to 5,863.92, 8,092.38 and 3,211.50

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Solution

The fourth proportional to 5,863.92, 8,092.38 and 3,211.50 is: 4,431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.92 : 8,092.38 = 3,211.50 : x
  2. Step 2: Convert to fraction form
    5,863.92/8,092.38 = 3,211.50/x
  3. Step 3: Cross multiply
    5,863.92x = 8,092.38 × 3,211.50
  4. Step 4: Simplify right side
    5,863.92x = 25,988,678.37
  5. Step 5: Solve for x
    x = 25,988,678.37/5,863.92
  6. Step 6: Final answer
    x = 4,431.96

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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.