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Finding the Fourth Proportional to 3,974.70, 5,485.12 and 2,206.46

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Solution

The fourth proportional to 3,974.70, 5,485.12 and 2,206.46 is: 3,044.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.70 : 5,485.12 = 2,206.46 : x
  2. Step 2: Convert to fraction form
    3,974.70/5,485.12 = 2,206.46/x
  3. Step 3: Cross multiply
    3,974.70x = 5,485.12 × 2,206.46
  4. Step 4: Simplify right side
    3,974.70x = 12,102,697.88
  5. Step 5: Solve for x
    x = 12,102,697.88/3,974.70
  6. Step 6: Final answer
    x = 3,044.93

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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.