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Finding the Fourth Proportional to 5,717, 8,579.34 and 2,069

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Solution

The fourth proportional to 5,717, 8,579.34 and 2,069 is: 3,104.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717 : 8,579.34 = 2,069 : x
  2. Step 2: Convert to fraction form
    5,717/8,579.34 = 2,069/x
  3. Step 3: Cross multiply
    5,717x = 8,579.34 × 2,069
  4. Step 4: Simplify right side
    5,717x = 17,750,654.46
  5. Step 5: Solve for x
    x = 17,750,654.46/5,717
  6. Step 6: Final answer
    x = 3,104.89

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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.