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Finding the Fourth Proportional to 5,964.46, 8,233.32 and 3,974.38

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Solution

The fourth proportional to 5,964.46, 8,233.32 and 3,974.38 is: 5,486.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.46 : 8,233.32 = 3,974.38 : x
  2. Step 2: Convert to fraction form
    5,964.46/8,233.32 = 3,974.38/x
  3. Step 3: Cross multiply
    5,964.46x = 8,233.32 × 3,974.38
  4. Step 4: Simplify right side
    5,964.46x = 32,722,342.34
  5. Step 5: Solve for x
    x = 32,722,342.34/5,964.46
  6. Step 6: Final answer
    x = 5,486.22

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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.