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Finding the Fourth Proportional to 3,769.56, 5,653.86 and 996.46

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Solution

The fourth proportional to 3,769.56, 5,653.86 and 996.46 is: 1,494.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.56 : 5,653.86 = 996.46 : x
  2. Step 2: Convert to fraction form
    3,769.56/5,653.86 = 996.46/x
  3. Step 3: Cross multiply
    3,769.56x = 5,653.86 × 996.46
  4. Step 4: Simplify right side
    3,769.56x = 5,633,845.34
  5. Step 5: Solve for x
    x = 5,633,845.34/3,769.56
  6. Step 6: Final answer
    x = 1,494.56

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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.