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Finding the Fourth Proportional to 3,469.69, 5,204.54 and 872.63

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Solution

The fourth proportional to 3,469.69, 5,204.54 and 872.63 is: 1,308.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.69 : 5,204.54 = 872.63 : x
  2. Step 2: Convert to fraction form
    3,469.69/5,204.54 = 872.63/x
  3. Step 3: Cross multiply
    3,469.69x = 5,204.54 × 872.63
  4. Step 4: Simplify right side
    3,469.69x = 4,541,607.35
  5. Step 5: Solve for x
    x = 4,541,607.35/3,469.69
  6. Step 6: Final answer
    x = 1,308.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.