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Finding the Fourth Proportional to 3,819.50, 5,270.30 and 2,327.88

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Solution

The fourth proportional to 3,819.50, 5,270.30 and 2,327.88 is: 3,212.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.50 : 5,270.30 = 2,327.88 : x
  2. Step 2: Convert to fraction form
    3,819.50/5,270.30 = 2,327.88/x
  3. Step 3: Cross multiply
    3,819.50x = 5,270.30 × 2,327.88
  4. Step 4: Simplify right side
    3,819.50x = 12,268,614.32
  5. Step 5: Solve for x
    x = 12,268,614.32/3,819.50
  6. Step 6: Final answer
    x = 3,212.10

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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.