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Finding the Fourth Proportional to 3,490.38, 4,815 and 3,240.27

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Solution

The fourth proportional to 3,490.38, 4,815 and 3,240.27 is: 4,469.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.38 : 4,815 = 3,240.27 : x
  2. Step 2: Convert to fraction form
    3,490.38/4,815 = 3,240.27/x
  3. Step 3: Cross multiply
    3,490.38x = 4,815 × 3,240.27
  4. Step 4: Simplify right side
    3,490.38x = 15,601,900.05
  5. Step 5: Solve for x
    x = 15,601,900.05/3,490.38
  6. Step 6: Final answer
    x = 4,469.97

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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.