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Finding the Fourth Proportional to 6,188.50, 8,540.67 and 3,394.54

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Solution

The fourth proportional to 6,188.50, 8,540.67 and 3,394.54 is: 4,684.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.50 : 8,540.67 = 3,394.54 : x
  2. Step 2: Convert to fraction form
    6,188.50/8,540.67 = 3,394.54/x
  3. Step 3: Cross multiply
    6,188.50x = 8,540.67 × 3,394.54
  4. Step 4: Simplify right side
    6,188.50x = 28,991,645.94
  5. Step 5: Solve for x
    x = 28,991,645.94/6,188.50
  6. Step 6: Final answer
    x = 4,684.76

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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.