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Finding the Fourth Proportional to 3,974.69, 5,960.27 and 1,892.23

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Solution

The fourth proportional to 3,974.69, 5,960.27 and 1,892.23 is: 2,837.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.69 : 5,960.27 = 1,892.23 : x
  2. Step 2: Convert to fraction form
    3,974.69/5,960.27 = 1,892.23/x
  3. Step 3: Cross multiply
    3,974.69x = 5,960.27 × 1,892.23
  4. Step 4: Simplify right side
    3,974.69x = 11,278,191.53
  5. Step 5: Solve for x
    x = 11,278,191.53/3,974.69
  6. Step 6: Final answer
    x = 2,837.50

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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.