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Finding the Fourth Proportional to 3,974.86, 5,484.67 and 2,206.43

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Solution

The fourth proportional to 3,974.86, 5,484.67 and 2,206.43 is: 3,044.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.86 : 5,484.67 = 2,206.43 : x
  2. Step 2: Convert to fraction form
    3,974.86/5,484.67 = 2,206.43/x
  3. Step 3: Cross multiply
    3,974.86x = 5,484.67 × 2,206.43
  4. Step 4: Simplify right side
    3,974.86x = 12,101,540.43
  5. Step 5: Solve for x
    x = 12,101,540.43/3,974.86
  6. Step 6: Final answer
    x = 3,044.52

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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.