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Finding the Fourth Proportional to 3,049.23, 4,572.89 and 996.75

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Solution

The fourth proportional to 3,049.23, 4,572.89 and 996.75 is: 1,494.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.23 : 4,572.89 = 996.75 : x
  2. Step 2: Convert to fraction form
    3,049.23/4,572.89 = 996.75/x
  3. Step 3: Cross multiply
    3,049.23x = 4,572.89 × 996.75
  4. Step 4: Simplify right side
    3,049.23x = 4,558,023.12
  5. Step 5: Solve for x
    x = 4,558,023.12/3,049.23
  6. Step 6: Final answer
    x = 1,494.81

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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.