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Finding the Fourth Proportional to 3,501.97, 5,227.33 and 3,086.80

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Solution

The fourth proportional to 3,501.97, 5,227.33 and 3,086.80 is: 4,607.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.97 : 5,227.33 = 3,086.80 : x
  2. Step 2: Convert to fraction form
    3,501.97/5,227.33 = 3,086.80/x
  3. Step 3: Cross multiply
    3,501.97x = 5,227.33 × 3,086.80
  4. Step 4: Simplify right side
    3,501.97x = 16,135,722.24
  5. Step 5: Solve for x
    x = 16,135,722.24/3,501.97
  6. Step 6: Final answer
    x = 4,607.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.