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Finding the Fourth Proportional to 3,829.97, 5,285.22 and 2,340.38

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Solution

The fourth proportional to 3,829.97, 5,285.22 and 2,340.38 is: 3,229.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.97 : 5,285.22 = 2,340.38 : x
  2. Step 2: Convert to fraction form
    3,829.97/5,285.22 = 2,340.38/x
  3. Step 3: Cross multiply
    3,829.97x = 5,285.22 × 2,340.38
  4. Step 4: Simplify right side
    3,829.97x = 12,369,385.06
  5. Step 5: Solve for x
    x = 12,369,385.06/3,829.97
  6. Step 6: Final answer
    x = 3,229.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.