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Finding the Fourth Proportional to 5,863.96, 8,092.23 and 3,211.32

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Solution

The fourth proportional to 5,863.96, 8,092.23 and 3,211.32 is: 4,431.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.96 : 8,092.23 = 3,211.32 : x
  2. Step 2: Convert to fraction form
    5,863.96/8,092.23 = 3,211.32/x
  3. Step 3: Cross multiply
    5,863.96x = 8,092.23 × 3,211.32
  4. Step 4: Simplify right side
    5,863.96x = 25,986,740.04
  5. Step 5: Solve for x
    x = 25,986,740.04/5,863.96
  6. Step 6: Final answer
    x = 4,431.60

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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.