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Finding the Fourth Proportional to 6,481.74, 8,943.54 and 3,964.38

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Solution

The fourth proportional to 6,481.74, 8,943.54 and 3,964.38 is: 5,470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.74 : 8,943.54 = 3,964.38 : x
  2. Step 2: Convert to fraction form
    6,481.74/8,943.54 = 3,964.38/x
  3. Step 3: Cross multiply
    6,481.74x = 8,943.54 × 3,964.38
  4. Step 4: Simplify right side
    6,481.74x = 35,455,591.11
  5. Step 5: Solve for x
    x = 35,455,591.11/6,481.74
  6. Step 6: Final answer
    x = 5,470.07

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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.