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Finding the Fourth Proportional to 5,906.43, 8,859.69 and 1,523.55

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Solution

The fourth proportional to 5,906.43, 8,859.69 and 1,523.55 is: 2,285.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.43 : 8,859.69 = 1,523.55 : x
  2. Step 2: Convert to fraction form
    5,906.43/8,859.69 = 1,523.55/x
  3. Step 3: Cross multiply
    5,906.43x = 8,859.69 × 1,523.55
  4. Step 4: Simplify right side
    5,906.43x = 13,498,180.70
  5. Step 5: Solve for x
    x = 13,498,180.70/5,906.43
  6. Step 6: Final answer
    x = 2,285.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.