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Finding the Fourth Proportional to 3,472.38, 5,210.46 and 2,299.50

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Solution

The fourth proportional to 3,472.38, 5,210.46 and 2,299.50 is: 3,450.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.38 : 5,210.46 = 2,299.50 : x
  2. Step 2: Convert to fraction form
    3,472.38/5,210.46 = 2,299.50/x
  3. Step 3: Cross multiply
    3,472.38x = 5,210.46 × 2,299.50
  4. Step 4: Simplify right side
    3,472.38x = 11,981,452.77
  5. Step 5: Solve for x
    x = 11,981,452.77/3,472.38
  6. Step 6: Final answer
    x = 3,450.50

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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.