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Finding the Fourth Proportional to 5,674.82, 8,512.22 and 4,527.86

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Solution

The fourth proportional to 5,674.82, 8,512.22 and 4,527.86 is: 6,791.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.82 : 8,512.22 = 4,527.86 : x
  2. Step 2: Convert to fraction form
    5,674.82/8,512.22 = 4,527.86/x
  3. Step 3: Cross multiply
    5,674.82x = 8,512.22 × 4,527.86
  4. Step 4: Simplify right side
    5,674.82x = 38,542,140.45
  5. Step 5: Solve for x
    x = 38,542,140.45/5,674.82
  6. Step 6: Final answer
    x = 6,791.78

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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.