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Finding the Fourth Proportional to 3,469.84, 5,206.20 and 2,086

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Solution

The fourth proportional to 3,469.84, 5,206.20 and 2,086 is: 3,129.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.84 : 5,206.20 = 2,086 : x
  2. Step 2: Convert to fraction form
    3,469.84/5,206.20 = 2,086/x
  3. Step 3: Cross multiply
    3,469.84x = 5,206.20 × 2,086
  4. Step 4: Simplify right side
    3,469.84x = 10,860,133.20
  5. Step 5: Solve for x
    x = 10,860,133.20/3,469.84
  6. Step 6: Final answer
    x = 3,129.87

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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.