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Finding the Fourth Proportional to 3,754.26, 5,632.37 and 1,414.29

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Solution

The fourth proportional to 3,754.26, 5,632.37 and 1,414.29 is: 2,121.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.26 : 5,632.37 = 1,414.29 : x
  2. Step 2: Convert to fraction form
    3,754.26/5,632.37 = 1,414.29/x
  3. Step 3: Cross multiply
    3,754.26x = 5,632.37 × 1,414.29
  4. Step 4: Simplify right side
    3,754.26x = 7,965,804.57
  5. Step 5: Solve for x
    x = 7,965,804.57/3,754.26
  6. Step 6: Final answer
    x = 2,121.80

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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.