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Finding the Fourth Proportional to 3,899.27, 5,849.49 and 1,433.90

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Solution

The fourth proportional to 3,899.27, 5,849.49 and 1,433.90 is: 2,151.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.27 : 5,849.49 = 1,433.90 : x
  2. Step 2: Convert to fraction form
    3,899.27/5,849.49 = 1,433.90/x
  3. Step 3: Cross multiply
    3,899.27x = 5,849.49 × 1,433.90
  4. Step 4: Simplify right side
    3,899.27x = 8,387,576.54
  5. Step 5: Solve for x
    x = 8,387,576.54/3,899.27
  6. Step 6: Final answer
    x = 2,151.06

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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.