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Finding the Fourth Proportional to 3,189.42, 4,772.11 and 2,865.69

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Solution

The fourth proportional to 3,189.42, 4,772.11 and 2,865.69 is: 4,287.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.42 : 4,772.11 = 2,865.69 : x
  2. Step 2: Convert to fraction form
    3,189.42/4,772.11 = 2,865.69/x
  3. Step 3: Cross multiply
    3,189.42x = 4,772.11 × 2,865.69
  4. Step 4: Simplify right side
    3,189.42x = 13,675,380.74
  5. Step 5: Solve for x
    x = 13,675,380.74/3,189.42
  6. Step 6: Final answer
    x = 4,287.73

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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.