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Finding the Fourth Proportional to 3,361.03, 5,042.08 and 896.05

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Solution

The fourth proportional to 3,361.03, 5,042.08 and 896.05 is: 1,344.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.03 : 5,042.08 = 896.05 : x
  2. Step 2: Convert to fraction form
    3,361.03/5,042.08 = 896.05/x
  3. Step 3: Cross multiply
    3,361.03x = 5,042.08 × 896.05
  4. Step 4: Simplify right side
    3,361.03x = 4,517,955.78
  5. Step 5: Solve for x
    x = 4,517,955.78/3,361.03
  6. Step 6: Final answer
    x = 1,344.22

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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.