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Finding the Fourth Proportional to 3,614.84, 5,422.26 and 1,149.66

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Solution

The fourth proportional to 3,614.84, 5,422.26 and 1,149.66 is: 1,724.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.84 : 5,422.26 = 1,149.66 : x
  2. Step 2: Convert to fraction form
    3,614.84/5,422.26 = 1,149.66/x
  3. Step 3: Cross multiply
    3,614.84x = 5,422.26 × 1,149.66
  4. Step 4: Simplify right side
    3,614.84x = 6,233,755.43
  5. Step 5: Solve for x
    x = 6,233,755.43/3,614.84
  6. Step 6: Final answer
    x = 1,724.49

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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.