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Finding the Fourth Proportional to 5,033.70, 6,945.38 and 3,044.21

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Solution

The fourth proportional to 5,033.70, 6,945.38 and 3,044.21 is: 4,200.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,033.70 : 6,945.38 = 3,044.21 : x
  2. Step 2: Convert to fraction form
    5,033.70/6,945.38 = 3,044.21/x
  3. Step 3: Cross multiply
    5,033.70x = 6,945.38 × 3,044.21
  4. Step 4: Simplify right side
    5,033.70x = 21,143,195.25
  5. Step 5: Solve for x
    x = 21,143,195.25/5,033.70
  6. Step 6: Final answer
    x = 4,200.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.