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Finding the Fourth Proportional to 3,433.99, 5,161.92 and 2,143.66

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Solution

The fourth proportional to 3,433.99, 5,161.92 and 2,143.66 is: 3,222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.99 : 5,161.92 = 2,143.66 : x
  2. Step 2: Convert to fraction form
    3,433.99/5,161.92 = 2,143.66/x
  3. Step 3: Cross multiply
    3,433.99x = 5,161.92 × 2,143.66
  4. Step 4: Simplify right side
    3,433.99x = 11,065,401.43
  5. Step 5: Solve for x
    x = 11,065,401.43/3,433.99
  6. Step 6: Final answer
    x = 3,222.32

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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.