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Finding the Fourth Proportional to 3,658.92, 5,481.96 and 3,046.56

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Solution

The fourth proportional to 3,658.92, 5,481.96 and 3,046.56 is: 4,564.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.92 : 5,481.96 = 3,046.56 : x
  2. Step 2: Convert to fraction form
    3,658.92/5,481.96 = 3,046.56/x
  3. Step 3: Cross multiply
    3,658.92x = 5,481.96 × 3,046.56
  4. Step 4: Simplify right side
    3,658.92x = 16,701,120.06
  5. Step 5: Solve for x
    x = 16,701,120.06/3,658.92
  6. Step 6: Final answer
    x = 4,564.49

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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.