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Finding the Fourth Proportional to 5,471.12, 8,194.31 and 3,834.95

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Solution

The fourth proportional to 5,471.12, 8,194.31 and 3,834.95 is: 5,743.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.12 : 8,194.31 = 3,834.95 : x
  2. Step 2: Convert to fraction form
    5,471.12/8,194.31 = 3,834.95/x
  3. Step 3: Cross multiply
    5,471.12x = 8,194.31 × 3,834.95
  4. Step 4: Simplify right side
    5,471.12x = 31,424,708.99
  5. Step 5: Solve for x
    x = 31,424,708.99/5,471.12
  6. Step 6: Final answer
    x = 5,743.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.