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Finding the Fourth Proportional to 3,847.62, 5,309.99 and 2,254.30

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Solution

The fourth proportional to 3,847.62, 5,309.99 and 2,254.30 is: 3,111.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.62 : 5,309.99 = 2,254.30 : x
  2. Step 2: Convert to fraction form
    3,847.62/5,309.99 = 2,254.30/x
  3. Step 3: Cross multiply
    3,847.62x = 5,309.99 × 2,254.30
  4. Step 4: Simplify right side
    3,847.62x = 11,970,310.46
  5. Step 5: Solve for x
    x = 11,970,310.46/3,847.62
  6. Step 6: Final answer
    x = 3,111.09

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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.