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Finding the Fourth Proportional to 3,842.26, 5,731.55 and 3,728.96

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Solution

The fourth proportional to 3,842.26, 5,731.55 and 3,728.96 is: 5,562.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.26 : 5,731.55 = 3,728.96 : x
  2. Step 2: Convert to fraction form
    3,842.26/5,731.55 = 3,728.96/x
  3. Step 3: Cross multiply
    3,842.26x = 5,731.55 × 3,728.96
  4. Step 4: Simplify right side
    3,842.26x = 21,372,673.39
  5. Step 5: Solve for x
    x = 21,372,673.39/3,842.26
  6. Step 6: Final answer
    x = 5,562.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.