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Finding the Fourth Proportional to 3,474.40, 5,211.60 and 3,166.60

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Solution

The fourth proportional to 3,474.40, 5,211.60 and 3,166.60 is: 4,749.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.40 : 5,211.60 = 3,166.60 : x
  2. Step 2: Convert to fraction form
    3,474.40/5,211.60 = 3,166.60/x
  3. Step 3: Cross multiply
    3,474.40x = 5,211.60 × 3,166.60
  4. Step 4: Simplify right side
    3,474.40x = 16,503,052.56
  5. Step 5: Solve for x
    x = 16,503,052.56/3,474.40
  6. Step 6: Final answer
    x = 4,749.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.