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Finding the Fourth Proportional to 4,149.09, 5,725.67 and 2,286.09

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Solution

The fourth proportional to 4,149.09, 5,725.67 and 2,286.09 is: 3,154.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.09 : 5,725.67 = 2,286.09 : x
  2. Step 2: Convert to fraction form
    4,149.09/5,725.67 = 2,286.09/x
  3. Step 3: Cross multiply
    4,149.09x = 5,725.67 × 2,286.09
  4. Step 4: Simplify right side
    4,149.09x = 13,089,385.50
  5. Step 5: Solve for x
    x = 13,089,385.50/4,149.09
  6. Step 6: Final answer
    x = 3,154.76

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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.