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Finding the Fourth Proportional to 5,691.91, 8,538.72 and 1,796.26

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Solution

The fourth proportional to 5,691.91, 8,538.72 and 1,796.26 is: 2,694.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.91 : 8,538.72 = 1,796.26 : x
  2. Step 2: Convert to fraction form
    5,691.91/8,538.72 = 1,796.26/x
  3. Step 3: Cross multiply
    5,691.91x = 8,538.72 × 1,796.26
  4. Step 4: Simplify right side
    5,691.91x = 15,337,761.19
  5. Step 5: Solve for x
    x = 15,337,761.19/5,691.91
  6. Step 6: Final answer
    x = 2,694.66

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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.