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Finding the Fourth Proportional to 3,974.37, 5,484.81 and 2,206

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Solution

The fourth proportional to 3,974.37, 5,484.81 and 2,206 is: 3,044.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.37 : 5,484.81 = 2,206 : x
  2. Step 2: Convert to fraction form
    3,974.37/5,484.81 = 2,206/x
  3. Step 3: Cross multiply
    3,974.37x = 5,484.81 × 2,206
  4. Step 4: Simplify right side
    3,974.37x = 12,099,490.86
  5. Step 5: Solve for x
    x = 12,099,490.86/3,974.37
  6. Step 6: Final answer
    x = 3,044.38

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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.