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Finding the Fourth Proportional to 3,469.63, 5,204.05 and 872.57

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Solution

The fourth proportional to 3,469.63, 5,204.05 and 872.57 is: 1,308.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.63 : 5,204.05 = 872.57 : x
  2. Step 2: Convert to fraction form
    3,469.63/5,204.05 = 872.57/x
  3. Step 3: Cross multiply
    3,469.63x = 5,204.05 × 872.57
  4. Step 4: Simplify right side
    3,469.63x = 4,540,897.91
  5. Step 5: Solve for x
    x = 4,540,897.91/3,469.63
  6. Step 6: Final answer
    x = 1,308.76

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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.