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Finding the Fourth Proportional to 3,674, 5,513.16 and 1,622

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Solution

The fourth proportional to 3,674, 5,513.16 and 1,622 is: 2,433.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674 : 5,513.16 = 1,622 : x
  2. Step 2: Convert to fraction form
    3,674/5,513.16 = 1,622/x
  3. Step 3: Cross multiply
    3,674x = 5,513.16 × 1,622
  4. Step 4: Simplify right side
    3,674x = 8,942,345.52
  5. Step 5: Solve for x
    x = 8,942,345.52/3,674
  6. Step 6: Final answer
    x = 2,433.95

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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.