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Finding the Fourth Proportional to 3,691.56, 5,092.68 and 2,293.56

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Solution

The fourth proportional to 3,691.56, 5,092.68 and 2,293.56 is: 3,164.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.56 : 5,092.68 = 2,293.56 : x
  2. Step 2: Convert to fraction form
    3,691.56/5,092.68 = 2,293.56/x
  3. Step 3: Cross multiply
    3,691.56x = 5,092.68 × 2,293.56
  4. Step 4: Simplify right side
    3,691.56x = 11,680,367.14
  5. Step 5: Solve for x
    x = 11,680,367.14/3,691.56
  6. Step 6: Final answer
    x = 3,164.07

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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.