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Finding the Fourth Proportional to 3,974.59, 5,485.06 and 2,206.31

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Solution

The fourth proportional to 3,974.59, 5,485.06 and 2,206.31 is: 3,044.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.59 : 5,485.06 = 2,206.31 : x
  2. Step 2: Convert to fraction form
    3,974.59/5,485.06 = 2,206.31/x
  3. Step 3: Cross multiply
    3,974.59x = 5,485.06 × 2,206.31
  4. Step 4: Simplify right side
    3,974.59x = 12,101,758.14
  5. Step 5: Solve for x
    x = 12,101,758.14/3,974.59
  6. Step 6: Final answer
    x = 3,044.78

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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.