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Finding the Fourth Proportional to 3,934.98, 5,906.59 and 1,745.26

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Solution

The fourth proportional to 3,934.98, 5,906.59 and 1,745.26 is: 2,619.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.98 : 5,906.59 = 1,745.26 : x
  2. Step 2: Convert to fraction form
    3,934.98/5,906.59 = 1,745.26/x
  3. Step 3: Cross multiply
    3,934.98x = 5,906.59 × 1,745.26
  4. Step 4: Simplify right side
    3,934.98x = 10,308,516.13
  5. Step 5: Solve for x
    x = 10,308,516.13/3,934.98
  6. Step 6: Final answer
    x = 2,619.71

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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.