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Finding the Fourth Proportional to 3,974.82, 5,485.02 and 2,206.32

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Solution

The fourth proportional to 3,974.82, 5,485.02 and 2,206.32 is: 3,044.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.82 : 5,485.02 = 2,206.32 : x
  2. Step 2: Convert to fraction form
    3,974.82/5,485.02 = 2,206.32/x
  3. Step 3: Cross multiply
    3,974.82x = 5,485.02 × 2,206.32
  4. Step 4: Simplify right side
    3,974.82x = 12,101,709.33
  5. Step 5: Solve for x
    x = 12,101,709.33/3,974.82
  6. Step 6: Final answer
    x = 3,044.59

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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.