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Finding the Fourth Proportional to 5,659.86, 8,480.57 and 3,463.98

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Solution

The fourth proportional to 5,659.86, 8,480.57 and 3,463.98 is: 5,190.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.86 : 8,480.57 = 3,463.98 : x
  2. Step 2: Convert to fraction form
    5,659.86/8,480.57 = 3,463.98/x
  3. Step 3: Cross multiply
    5,659.86x = 8,480.57 × 3,463.98
  4. Step 4: Simplify right side
    5,659.86x = 29,376,524.87
  5. Step 5: Solve for x
    x = 29,376,524.87/5,659.86
  6. Step 6: Final answer
    x = 5,190.33

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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.