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Finding the Fourth Proportional to 3,647.53, 5,034.66 and 3,229.27

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Solution

The fourth proportional to 3,647.53, 5,034.66 and 3,229.27 is: 4,457.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.53 : 5,034.66 = 3,229.27 : x
  2. Step 2: Convert to fraction form
    3,647.53/5,034.66 = 3,229.27/x
  3. Step 3: Cross multiply
    3,647.53x = 5,034.66 × 3,229.27
  4. Step 4: Simplify right side
    3,647.53x = 16,258,251.80
  5. Step 5: Solve for x
    x = 16,258,251.80/3,647.53
  6. Step 6: Final answer
    x = 4,457.33

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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.