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Finding the Fourth Proportional to 5,943.85, 8,203.89 and 3,954.49

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Solution

The fourth proportional to 5,943.85, 8,203.89 and 3,954.49 is: 5,458.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.85 : 8,203.89 = 3,954.49 : x
  2. Step 2: Convert to fraction form
    5,943.85/8,203.89 = 3,954.49/x
  3. Step 3: Cross multiply
    5,943.85x = 8,203.89 × 3,954.49
  4. Step 4: Simplify right side
    5,943.85x = 32,442,200.97
  5. Step 5: Solve for x
    x = 32,442,200.97/5,943.85
  6. Step 6: Final answer
    x = 5,458.11

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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.