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Finding the Fourth Proportional to 5,769.01, 7,961.79 and 3,673

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Solution

The fourth proportional to 5,769.01, 7,961.79 and 3,673 is: 5,069.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.01 : 7,961.79 = 3,673 : x
  2. Step 2: Convert to fraction form
    5,769.01/7,961.79 = 3,673/x
  3. Step 3: Cross multiply
    5,769.01x = 7,961.79 × 3,673
  4. Step 4: Simplify right side
    5,769.01x = 29,243,654.67
  5. Step 5: Solve for x
    x = 29,243,654.67/5,769.01
  6. Step 6: Final answer
    x = 5,069.09

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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.