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Finding the Fourth Proportional to 5,906.86, 8,860.26 and 1,523.94

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Solution

The fourth proportional to 5,906.86, 8,860.26 and 1,523.94 is: 2,285.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.86 : 8,860.26 = 1,523.94 : x
  2. Step 2: Convert to fraction form
    5,906.86/8,860.26 = 1,523.94/x
  3. Step 3: Cross multiply
    5,906.86x = 8,860.26 × 1,523.94
  4. Step 4: Simplify right side
    5,906.86x = 13,502,504.62
  5. Step 5: Solve for x
    x = 13,502,504.62/5,906.86
  6. Step 6: Final answer
    x = 2,285.90

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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.