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Finding the Fourth Proportional to 5,967.85, 8,951.77 and 2,269.22

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Solution

The fourth proportional to 5,967.85, 8,951.77 and 2,269.22 is: 3,403.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.85 : 8,951.77 = 2,269.22 : x
  2. Step 2: Convert to fraction form
    5,967.85/8,951.77 = 2,269.22/x
  3. Step 3: Cross multiply
    5,967.85x = 8,951.77 × 2,269.22
  4. Step 4: Simplify right side
    5,967.85x = 20,313,535.52
  5. Step 5: Solve for x
    x = 20,313,535.52/5,967.85
  6. Step 6: Final answer
    x = 3,403.83

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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.