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Finding the Fourth Proportional to 4,227.47, 6,333.74 and 3,769.32

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Solution

The fourth proportional to 4,227.47, 6,333.74 and 3,769.32 is: 5,647.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.47 : 6,333.74 = 3,769.32 : x
  2. Step 2: Convert to fraction form
    4,227.47/6,333.74 = 3,769.32/x
  3. Step 3: Cross multiply
    4,227.47x = 6,333.74 × 3,769.32
  4. Step 4: Simplify right side
    4,227.47x = 23,873,892.86
  5. Step 5: Solve for x
    x = 23,873,892.86/4,227.47
  6. Step 6: Final answer
    x = 5,647.32

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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.