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Finding the Fourth Proportional to 3,847.90, 5,309.40 and 2,169.22

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Solution

The fourth proportional to 3,847.90, 5,309.40 and 2,169.22 is: 2,993.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.90 : 5,309.40 = 2,169.22 : x
  2. Step 2: Convert to fraction form
    3,847.90/5,309.40 = 2,169.22/x
  3. Step 3: Cross multiply
    3,847.90x = 5,309.40 × 2,169.22
  4. Step 4: Simplify right side
    3,847.90x = 11,517,256.67
  5. Step 5: Solve for x
    x = 11,517,256.67/3,847.90
  6. Step 6: Final answer
    x = 2,993.13

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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.