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Finding the Fourth Proportional to 3,296.97, 4,946.54 and 2,062.94

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Solution

The fourth proportional to 3,296.97, 4,946.54 and 2,062.94 is: 3,095.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.97 : 4,946.54 = 2,062.94 : x
  2. Step 2: Convert to fraction form
    3,296.97/4,946.54 = 2,062.94/x
  3. Step 3: Cross multiply
    3,296.97x = 4,946.54 × 2,062.94
  4. Step 4: Simplify right side
    3,296.97x = 10,204,380.18
  5. Step 5: Solve for x
    x = 10,204,380.18/3,296.97
  6. Step 6: Final answer
    x = 3,095.08

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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.