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Finding the Fourth Proportional to 5,843.85, 8,064.10 and 3,191.21

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Solution

The fourth proportional to 5,843.85, 8,064.10 and 3,191.21 is: 4,403.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.85 : 8,064.10 = 3,191.21 : x
  2. Step 2: Convert to fraction form
    5,843.85/8,064.10 = 3,191.21/x
  3. Step 3: Cross multiply
    5,843.85x = 8,064.10 × 3,191.21
  4. Step 4: Simplify right side
    5,843.85x = 25,734,236.56
  5. Step 5: Solve for x
    x = 25,734,236.56/5,843.85
  6. Step 6: Final answer
    x = 4,403.64

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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.