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Finding the Fourth Proportional to 3,403.75, 5,105.89 and 938.55

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Solution

The fourth proportional to 3,403.75, 5,105.89 and 938.55 is: 1,407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.75 : 5,105.89 = 938.55 : x
  2. Step 2: Convert to fraction form
    3,403.75/5,105.89 = 938.55/x
  3. Step 3: Cross multiply
    3,403.75x = 5,105.89 × 938.55
  4. Step 4: Simplify right side
    3,403.75x = 4,792,128.37
  5. Step 5: Solve for x
    x = 4,792,128.37/3,403.75
  6. Step 6: Final answer
    x = 1,407.90

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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.