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Finding the Fourth Proportional to 3,974.22, 5,932.17 and 3,681

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Solution

The fourth proportional to 3,974.22, 5,932.17 and 3,681 is: 5,494.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.22 : 5,932.17 = 3,681 : x
  2. Step 2: Convert to fraction form
    3,974.22/5,932.17 = 3,681/x
  3. Step 3: Cross multiply
    3,974.22x = 5,932.17 × 3,681
  4. Step 4: Simplify right side
    3,974.22x = 21,836,317.77
  5. Step 5: Solve for x
    x = 21,836,317.77/3,974.22
  6. Step 6: Final answer
    x = 5,494.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.