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Finding the Fourth Proportional to 4,324.86, 5,968.86 and 2,834.04

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Solution

The fourth proportional to 4,324.86, 5,968.86 and 2,834.04 is: 3,911.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,324.86 : 5,968.86 = 2,834.04 : x
  2. Step 2: Convert to fraction form
    4,324.86/5,968.86 = 2,834.04/x
  3. Step 3: Cross multiply
    4,324.86x = 5,968.86 × 2,834.04
  4. Step 4: Simplify right side
    4,324.86x = 16,915,987.99
  5. Step 5: Solve for x
    x = 16,915,987.99/4,324.86
  6. Step 6: Final answer
    x = 3,911.34

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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.