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Finding the Fourth Proportional to 3,086.67, 4,634.61 and 2,468.55

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Solution

The fourth proportional to 3,086.67, 4,634.61 and 2,468.55 is: 3,706.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.67 : 4,634.61 = 2,468.55 : x
  2. Step 2: Convert to fraction form
    3,086.67/4,634.61 = 2,468.55/x
  3. Step 3: Cross multiply
    3,086.67x = 4,634.61 × 2,468.55
  4. Step 4: Simplify right side
    3,086.67x = 11,440,766.52
  5. Step 5: Solve for x
    x = 11,440,766.52/3,086.67
  6. Step 6: Final answer
    x = 3,706.51

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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.