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Finding the Fourth Proportional to 5,949.86, 8,212.49 and 3,592.15

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Solution

The fourth proportional to 5,949.86, 8,212.49 and 3,592.15 is: 4,958.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.86 : 8,212.49 = 3,592.15 : x
  2. Step 2: Convert to fraction form
    5,949.86/8,212.49 = 3,592.15/x
  3. Step 3: Cross multiply
    5,949.86x = 8,212.49 × 3,592.15
  4. Step 4: Simplify right side
    5,949.86x = 29,500,470.93
  5. Step 5: Solve for x
    x = 29,500,470.93/5,949.86
  6. Step 6: Final answer
    x = 4,958.18

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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.