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Finding the Fourth Proportional to 4,047.91, 6,072.01 and 1,414.89

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Solution

The fourth proportional to 4,047.91, 6,072.01 and 1,414.89 is: 2,122.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.91 : 6,072.01 = 1,414.89 : x
  2. Step 2: Convert to fraction form
    4,047.91/6,072.01 = 1,414.89/x
  3. Step 3: Cross multiply
    4,047.91x = 6,072.01 × 1,414.89
  4. Step 4: Simplify right side
    4,047.91x = 8,591,222.69
  5. Step 5: Solve for x
    x = 8,591,222.69/4,047.91
  6. Step 6: Final answer
    x = 2,122.39

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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.