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Finding the Fourth Proportional to 3,819.60, 5,270.76 and 2,247.60

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Solution

The fourth proportional to 3,819.60, 5,270.76 and 2,247.60 is: 3,101.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.60 : 5,270.76 = 2,247.60 : x
  2. Step 2: Convert to fraction form
    3,819.60/5,270.76 = 2,247.60/x
  3. Step 3: Cross multiply
    3,819.60x = 5,270.76 × 2,247.60
  4. Step 4: Simplify right side
    3,819.60x = 11,846,560.18
  5. Step 5: Solve for x
    x = 11,846,560.18/3,819.60
  6. Step 6: Final answer
    x = 3,101.52

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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.