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Finding the Fourth Proportional to 5,472.01, 8,205.94 and 1,961.07

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Solution

The fourth proportional to 5,472.01, 8,205.94 and 1,961.07 is: 2,940.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.01 : 8,205.94 = 1,961.07 : x
  2. Step 2: Convert to fraction form
    5,472.01/8,205.94 = 1,961.07/x
  3. Step 3: Cross multiply
    5,472.01x = 8,205.94 × 1,961.07
  4. Step 4: Simplify right side
    5,472.01x = 16,092,422.76
  5. Step 5: Solve for x
    x = 16,092,422.76/5,472.01
  6. Step 6: Final answer
    x = 2,940.86

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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.