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Finding the Fourth Proportional to 3,404.51, 5,105.82 and 938.73

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Solution

The fourth proportional to 3,404.51, 5,105.82 and 938.73 is: 1,407.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.51 : 5,105.82 = 938.73 : x
  2. Step 2: Convert to fraction form
    3,404.51/5,105.82 = 938.73/x
  3. Step 3: Cross multiply
    3,404.51x = 5,105.82 × 938.73
  4. Step 4: Simplify right side
    3,404.51x = 4,792,986.41
  5. Step 5: Solve for x
    x = 4,792,986.41/3,404.51
  6. Step 6: Final answer
    x = 1,407.83

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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.