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Finding the Fourth Proportional to 5,863.93, 8,092.23 and 3,211.34

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Solution

The fourth proportional to 5,863.93, 8,092.23 and 3,211.34 is: 4,431.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.93 : 8,092.23 = 3,211.34 : x
  2. Step 2: Convert to fraction form
    5,863.93/8,092.23 = 3,211.34/x
  3. Step 3: Cross multiply
    5,863.93x = 8,092.23 × 3,211.34
  4. Step 4: Simplify right side
    5,863.93x = 25,986,901.89
  5. Step 5: Solve for x
    x = 25,986,901.89/5,863.93
  6. Step 6: Final answer
    x = 4,431.65

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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.