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Finding the Fourth Proportional to 5,712.66, 7,883.42 and 3,194.78

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Solution

The fourth proportional to 5,712.66, 7,883.42 and 3,194.78 is: 4,408.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.66 : 7,883.42 = 3,194.78 : x
  2. Step 2: Convert to fraction form
    5,712.66/7,883.42 = 3,194.78/x
  3. Step 3: Cross multiply
    5,712.66x = 7,883.42 × 3,194.78
  4. Step 4: Simplify right side
    5,712.66x = 25,185,737.16
  5. Step 5: Solve for x
    x = 25,185,737.16/5,712.66
  6. Step 6: Final answer
    x = 4,408.76

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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.