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Finding the Fourth Proportional to 5,906.90, 8,857.27 and 2,786.06

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Solution

The fourth proportional to 5,906.90, 8,857.27 and 2,786.06 is: 4,177.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.90 : 8,857.27 = 2,786.06 : x
  2. Step 2: Convert to fraction form
    5,906.90/8,857.27 = 2,786.06/x
  3. Step 3: Cross multiply
    5,906.90x = 8,857.27 × 2,786.06
  4. Step 4: Simplify right side
    5,906.90x = 24,676,915.90
  5. Step 5: Solve for x
    x = 24,676,915.90/5,906.90
  6. Step 6: Final answer
    x = 4,177.64

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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.