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Finding the Fourth Proportional to 3,974.85, 5,485.21 and 2,206.42

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Solution

The fourth proportional to 3,974.85, 5,485.21 and 2,206.42 is: 3,044.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.85 : 5,485.21 = 2,206.42 : x
  2. Step 2: Convert to fraction form
    3,974.85/5,485.21 = 2,206.42/x
  3. Step 3: Cross multiply
    3,974.85x = 5,485.21 × 2,206.42
  4. Step 4: Simplify right side
    3,974.85x = 12,102,657.82
  5. Step 5: Solve for x
    x = 12,102,657.82/3,974.85
  6. Step 6: Final answer
    x = 3,044.81

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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.