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Finding the Fourth Proportional to 5,589, 8,384.87 and 1,693.41

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Solution

The fourth proportional to 5,589, 8,384.87 and 1,693.41 is: 2,540.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589 : 8,384.87 = 1,693.41 : x
  2. Step 2: Convert to fraction form
    5,589/8,384.87 = 1,693.41/x
  3. Step 3: Cross multiply
    5,589x = 8,384.87 × 1,693.41
  4. Step 4: Simplify right side
    5,589x = 14,198,985.97
  5. Step 5: Solve for x
    x = 14,198,985.97/5,589
  6. Step 6: Final answer
    x = 2,540.52

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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.