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Finding the Fourth Proportional to 5,936.74, 8,191.78 and 3,418.96

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Solution

The fourth proportional to 5,936.74, 8,191.78 and 3,418.96 is: 4,717.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.74 : 8,191.78 = 3,418.96 : x
  2. Step 2: Convert to fraction form
    5,936.74/8,191.78 = 3,418.96/x
  3. Step 3: Cross multiply
    5,936.74x = 8,191.78 × 3,418.96
  4. Step 4: Simplify right side
    5,936.74x = 28,007,373.71
  5. Step 5: Solve for x
    x = 28,007,373.71/5,936.74
  6. Step 6: Final answer
    x = 4,717.63

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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.