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Finding the Fourth Proportional to 3,309.59, 4,568.64 and 2,233.10

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Solution

The fourth proportional to 3,309.59, 4,568.64 and 2,233.10 is: 3,082.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.59 : 4,568.64 = 2,233.10 : x
  2. Step 2: Convert to fraction form
    3,309.59/4,568.64 = 2,233.10/x
  3. Step 3: Cross multiply
    3,309.59x = 4,568.64 × 2,233.10
  4. Step 4: Simplify right side
    3,309.59x = 10,202,229.98
  5. Step 5: Solve for x
    x = 10,202,229.98/3,309.59
  6. Step 6: Final answer
    x = 3,082.63

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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.