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Finding the Fourth Proportional to 3,361.47, 5,042.19 and 2,129.22

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Solution

The fourth proportional to 3,361.47, 5,042.19 and 2,129.22 is: 3,193.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.47 : 5,042.19 = 2,129.22 : x
  2. Step 2: Convert to fraction form
    3,361.47/5,042.19 = 2,129.22/x
  3. Step 3: Cross multiply
    3,361.47x = 5,042.19 × 2,129.22
  4. Step 4: Simplify right side
    3,361.47x = 10,735,939.78
  5. Step 5: Solve for x
    x = 10,735,939.78/3,361.47
  6. Step 6: Final answer
    x = 3,193.83

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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.