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Finding the Fourth Proportional to 3,640.33, 5,447.13 and 3,057.13

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Solution

The fourth proportional to 3,640.33, 5,447.13 and 3,057.13 is: 4,574.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.33 : 5,447.13 = 3,057.13 : x
  2. Step 2: Convert to fraction form
    3,640.33/5,447.13 = 3,057.13/x
  3. Step 3: Cross multiply
    3,640.33x = 5,447.13 × 3,057.13
  4. Step 4: Simplify right side
    3,640.33x = 16,652,584.54
  5. Step 5: Solve for x
    x = 16,652,584.54/3,640.33
  6. Step 6: Final answer
    x = 4,574.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.