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Finding the Fourth Proportional to 3,433.08, 5,149.83 and 968.11

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Solution

The fourth proportional to 3,433.08, 5,149.83 and 968.11 is: 1,452.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.08 : 5,149.83 = 968.11 : x
  2. Step 2: Convert to fraction form
    3,433.08/5,149.83 = 968.11/x
  3. Step 3: Cross multiply
    3,433.08x = 5,149.83 × 968.11
  4. Step 4: Simplify right side
    3,433.08x = 4,985,601.92
  5. Step 5: Solve for x
    x = 4,985,601.92/3,433.08
  6. Step 6: Final answer
    x = 1,452.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.