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Finding the Fourth Proportional to 3,769.53, 5,654.63 and 996.16

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Solution

The fourth proportional to 3,769.53, 5,654.63 and 996.16 is: 1,494.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.53 : 5,654.63 = 996.16 : x
  2. Step 2: Convert to fraction form
    3,769.53/5,654.63 = 996.16/x
  3. Step 3: Cross multiply
    3,769.53x = 5,654.63 × 996.16
  4. Step 4: Simplify right side
    3,769.53x = 5,632,916.22
  5. Step 5: Solve for x
    x = 5,632,916.22/3,769.53
  6. Step 6: Final answer
    x = 1,494.33

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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.