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Finding the Fourth Proportional to 4,185.73, 5,781.99 and 3,352.42

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Solution

The fourth proportional to 4,185.73, 5,781.99 and 3,352.42 is: 4,630.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.73 : 5,781.99 = 3,352.42 : x
  2. Step 2: Convert to fraction form
    4,185.73/5,781.99 = 3,352.42/x
  3. Step 3: Cross multiply
    4,185.73x = 5,781.99 × 3,352.42
  4. Step 4: Simplify right side
    4,185.73x = 19,383,658.92
  5. Step 5: Solve for x
    x = 19,383,658.92/4,185.73
  6. Step 6: Final answer
    x = 4,630.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.