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Finding the Fourth Proportional to 5,212.80, 7,190.19 and 3,220.83

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Solution

The fourth proportional to 5,212.80, 7,190.19 and 3,220.83 is: 4,442.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.80 : 7,190.19 = 3,220.83 : x
  2. Step 2: Convert to fraction form
    5,212.80/7,190.19 = 3,220.83/x
  3. Step 3: Cross multiply
    5,212.80x = 7,190.19 × 3,220.83
  4. Step 4: Simplify right side
    5,212.80x = 23,158,379.66
  5. Step 5: Solve for x
    x = 23,158,379.66/5,212.80
  6. Step 6: Final answer
    x = 4,442.60

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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.