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Finding the Fourth Proportional to 3,859.18, 5,324.36 and 3,149.80

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Solution

The fourth proportional to 3,859.18, 5,324.36 and 3,149.80 is: 4,345.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.18 : 5,324.36 = 3,149.80 : x
  2. Step 2: Convert to fraction form
    3,859.18/5,324.36 = 3,149.80/x
  3. Step 3: Cross multiply
    3,859.18x = 5,324.36 × 3,149.80
  4. Step 4: Simplify right side
    3,859.18x = 16,770,669.13
  5. Step 5: Solve for x
    x = 16,770,669.13/3,859.18
  6. Step 6: Final answer
    x = 4,345.66

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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.