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Finding the Fourth Proportional to 5,906.88, 8,843.16 and 3,434.16

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Solution

The fourth proportional to 5,906.88, 8,843.16 and 3,434.16 is: 5,141.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.88 : 8,843.16 = 3,434.16 : x
  2. Step 2: Convert to fraction form
    5,906.88/8,843.16 = 3,434.16/x
  3. Step 3: Cross multiply
    5,906.88x = 8,843.16 × 3,434.16
  4. Step 4: Simplify right side
    5,906.88x = 30,368,826.35
  5. Step 5: Solve for x
    x = 30,368,826.35/5,906.88
  6. Step 6: Final answer
    x = 5,141.26

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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.