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Finding the Fourth Proportional to 3,974.48, 5,484.88 and 2,206

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Solution

The fourth proportional to 3,974.48, 5,484.88 and 2,206 is: 3,044.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.48 : 5,484.88 = 2,206 : x
  2. Step 2: Convert to fraction form
    3,974.48/5,484.88 = 2,206/x
  3. Step 3: Cross multiply
    3,974.48x = 5,484.88 × 2,206
  4. Step 4: Simplify right side
    3,974.48x = 12,099,645.28
  5. Step 5: Solve for x
    x = 12,099,645.28/3,974.48
  6. Step 6: Final answer
    x = 3,044.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.