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Finding the Fourth Proportional to 3,847.70, 5,309.43 and 2,169.37

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Solution

The fourth proportional to 3,847.70, 5,309.43 and 2,169.37 is: 2,993.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.70 : 5,309.43 = 2,169.37 : x
  2. Step 2: Convert to fraction form
    3,847.70/5,309.43 = 2,169.37/x
  3. Step 3: Cross multiply
    3,847.70x = 5,309.43 × 2,169.37
  4. Step 4: Simplify right side
    3,847.70x = 11,518,104.89
  5. Step 5: Solve for x
    x = 11,518,104.89/3,847.70
  6. Step 6: Final answer
    x = 2,993.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.