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Finding the Fourth Proportional to 7,246.72, 10,868.46 and 3,349

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Solution

The fourth proportional to 7,246.72, 10,868.46 and 3,349 is: 5,022.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,246.72 : 10,868.46 = 3,349 : x
  2. Step 2: Convert to fraction form
    7,246.72/10,868.46 = 3,349/x
  3. Step 3: Cross multiply
    7,246.72x = 10,868.46 × 3,349
  4. Step 4: Simplify right side
    7,246.72x = 36,398,472.54
  5. Step 5: Solve for x
    x = 36,398,472.54/7,246.72
  6. Step 6: Final answer
    x = 5,022.75

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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.