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Finding the Fourth Proportional to 5,219.67, 7,204.51 and 3,229.07

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Solution

The fourth proportional to 5,219.67, 7,204.51 and 3,229.07 is: 4,456.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.67 : 7,204.51 = 3,229.07 : x
  2. Step 2: Convert to fraction form
    5,219.67/7,204.51 = 3,229.07/x
  3. Step 3: Cross multiply
    5,219.67x = 7,204.51 × 3,229.07
  4. Step 4: Simplify right side
    5,219.67x = 23,263,867.11
  5. Step 5: Solve for x
    x = 23,263,867.11/5,219.67
  6. Step 6: Final answer
    x = 4,456.96

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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.