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Finding the Fourth Proportional to 3,981.61, 5,945.48 and 3,462.80

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Solution

The fourth proportional to 3,981.61, 5,945.48 and 3,462.80 is: 5,170.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.61 : 5,945.48 = 3,462.80 : x
  2. Step 2: Convert to fraction form
    3,981.61/5,945.48 = 3,462.80/x
  3. Step 3: Cross multiply
    3,981.61x = 5,945.48 × 3,462.80
  4. Step 4: Simplify right side
    3,981.61x = 20,587,997.79
  5. Step 5: Solve for x
    x = 20,587,997.79/3,981.61
  6. Step 6: Final answer
    x = 5,170.78

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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.