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Finding the Fourth Proportional to 5,471.73, 8,195.25 and 3,835.57

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Solution

The fourth proportional to 5,471.73, 8,195.25 and 3,835.57 is: 5,744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.73 : 8,195.25 = 3,835.57 : x
  2. Step 2: Convert to fraction form
    5,471.73/8,195.25 = 3,835.57/x
  3. Step 3: Cross multiply
    5,471.73x = 8,195.25 × 3,835.57
  4. Step 4: Simplify right side
    5,471.73x = 31,433,455.04
  5. Step 5: Solve for x
    x = 31,433,455.04/5,471.73
  6. Step 6: Final answer
    x = 5,744.70

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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.