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Finding the Fourth Proportional to 4,229.27, 5,836.41 and 2,340.98

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Solution

The fourth proportional to 4,229.27, 5,836.41 and 2,340.98 is: 3,230.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.27 : 5,836.41 = 2,340.98 : x
  2. Step 2: Convert to fraction form
    4,229.27/5,836.41 = 2,340.98/x
  3. Step 3: Cross multiply
    4,229.27x = 5,836.41 × 2,340.98
  4. Step 4: Simplify right side
    4,229.27x = 13,662,907.38
  5. Step 5: Solve for x
    x = 13,662,907.38/4,229.27
  6. Step 6: Final answer
    x = 3,230.56

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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.