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Finding the Fourth Proportional to 5,845.76, 8,067.11 and 3,193.17

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Solution

The fourth proportional to 5,845.76, 8,067.11 and 3,193.17 is: 4,406.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845.76 : 8,067.11 = 3,193.17 : x
  2. Step 2: Convert to fraction form
    5,845.76/8,067.11 = 3,193.17/x
  3. Step 3: Cross multiply
    5,845.76x = 8,067.11 × 3,193.17
  4. Step 4: Simplify right side
    5,845.76x = 25,759,617.51
  5. Step 5: Solve for x
    x = 25,759,617.51/5,845.76
  6. Step 6: Final answer
    x = 4,406.55

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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.