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Finding the Fourth Proportional to 3,847.73, 5,310.38 and 2,169.50

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Solution

The fourth proportional to 3,847.73, 5,310.38 and 2,169.50 is: 2,994.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.73 : 5,310.38 = 2,169.50 : x
  2. Step 2: Convert to fraction form
    3,847.73/5,310.38 = 2,169.50/x
  3. Step 3: Cross multiply
    3,847.73x = 5,310.38 × 2,169.50
  4. Step 4: Simplify right side
    3,847.73x = 11,520,869.41
  5. Step 5: Solve for x
    x = 11,520,869.41/3,847.73
  6. Step 6: Final answer
    x = 2,994.20

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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.