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Finding the Fourth Proportional to 5,589.50, 7,713.54 and 3,105.50

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Solution

The fourth proportional to 5,589.50, 7,713.54 and 3,105.50 is: 4,285.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.50 : 7,713.54 = 3,105.50 : x
  2. Step 2: Convert to fraction form
    5,589.50/7,713.54 = 3,105.50/x
  3. Step 3: Cross multiply
    5,589.50x = 7,713.54 × 3,105.50
  4. Step 4: Simplify right side
    5,589.50x = 23,954,398.47
  5. Step 5: Solve for x
    x = 23,954,398.47/5,589.50
  6. Step 6: Final answer
    x = 4,285.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.