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Finding the Fourth Proportional to 5,674.73, 7,826.68 and 3,883.26

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Solution

The fourth proportional to 5,674.73, 7,826.68 and 3,883.26 is: 5,355.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.73 : 7,826.68 = 3,883.26 : x
  2. Step 2: Convert to fraction form
    5,674.73/7,826.68 = 3,883.26/x
  3. Step 3: Cross multiply
    5,674.73x = 7,826.68 × 3,883.26
  4. Step 4: Simplify right side
    5,674.73x = 30,393,067.58
  5. Step 5: Solve for x
    x = 30,393,067.58/5,674.73
  6. Step 6: Final answer
    x = 5,355.87

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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.