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Finding the Fourth Proportional to 3,343.17, 5,014.17 and 1,151.94

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Solution

The fourth proportional to 3,343.17, 5,014.17 and 1,151.94 is: 1,727.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.17 : 5,014.17 = 1,151.94 : x
  2. Step 2: Convert to fraction form
    3,343.17/5,014.17 = 1,151.94/x
  3. Step 3: Cross multiply
    3,343.17x = 5,014.17 × 1,151.94
  4. Step 4: Simplify right side
    3,343.17x = 5,776,022.99
  5. Step 5: Solve for x
    x = 5,776,022.99/3,343.17
  6. Step 6: Final answer
    x = 1,727.71

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Why These Related Problems?

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