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Finding the Fourth Proportional to 3,879.10, 5,830.80 and 3,806.20

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Solution

The fourth proportional to 3,879.10, 5,830.80 and 3,806.20 is: 5,721.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.10 : 5,830.80 = 3,806.20 : x
  2. Step 2: Convert to fraction form
    3,879.10/5,830.80 = 3,806.20/x
  3. Step 3: Cross multiply
    3,879.10x = 5,830.80 × 3,806.20
  4. Step 4: Simplify right side
    3,879.10x = 22,193,190.96
  5. Step 5: Solve for x
    x = 22,193,190.96/3,879.10
  6. Step 6: Final answer
    x = 5,721.22

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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.