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Finding the Fourth Proportional to 5,936.76, 8,189.16 and 3,920.19

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Solution

The fourth proportional to 5,936.76, 8,189.16 and 3,920.19 is: 5,407.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.76 : 8,189.16 = 3,920.19 : x
  2. Step 2: Convert to fraction form
    5,936.76/8,189.16 = 3,920.19/x
  3. Step 3: Cross multiply
    5,936.76x = 8,189.16 × 3,920.19
  4. Step 4: Simplify right side
    5,936.76x = 32,103,063.79
  5. Step 5: Solve for x
    x = 32,103,063.79/5,936.76
  6. Step 6: Final answer
    x = 5,407.51

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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.