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Finding the Fourth Proportional to 3,861.20, 5,793.60 and 2,014.40

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Solution

The fourth proportional to 3,861.20, 5,793.60 and 2,014.40 is: 3,022.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.20 : 5,793.60 = 2,014.40 : x
  2. Step 2: Convert to fraction form
    3,861.20/5,793.60 = 2,014.40/x
  3. Step 3: Cross multiply
    3,861.20x = 5,793.60 × 2,014.40
  4. Step 4: Simplify right side
    3,861.20x = 11,670,627.84
  5. Step 5: Solve for x
    x = 11,670,627.84/3,861.20
  6. Step 6: Final answer
    x = 3,022.54

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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.