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Finding the Fourth Proportional to 3,361.50, 5,042.50 and 896.27

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Solution

The fourth proportional to 3,361.50, 5,042.50 and 896.27 is: 1,344.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.50 : 5,042.50 = 896.27 : x
  2. Step 2: Convert to fraction form
    3,361.50/5,042.50 = 896.27/x
  3. Step 3: Cross multiply
    3,361.50x = 5,042.50 × 896.27
  4. Step 4: Simplify right side
    3,361.50x = 4,519,419.06
  5. Step 5: Solve for x
    x = 4,519,419.06/3,361.50
  6. Step 6: Final answer
    x = 1,344.46

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Why These Related Problems?

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