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Finding the Fourth Proportional to 3,236.24, 4,849.62 and 3,159.56

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Solution

The fourth proportional to 3,236.24, 4,849.62 and 3,159.56 is: 4,734.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,236.24 : 4,849.62 = 3,159.56 : x
  2. Step 2: Convert to fraction form
    3,236.24/4,849.62 = 3,159.56/x
  3. Step 3: Cross multiply
    3,236.24x = 4,849.62 × 3,159.56
  4. Step 4: Simplify right side
    3,236.24x = 15,322,665.37
  5. Step 5: Solve for x
    x = 15,322,665.37/3,236.24
  6. Step 6: Final answer
    x = 4,734.71

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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.