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Finding the Fourth Proportional to 3,643.22, 5,468.26 and 2,003.24

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Solution

The fourth proportional to 3,643.22, 5,468.26 and 2,003.24 is: 3,006.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.22 : 5,468.26 = 2,003.24 : x
  2. Step 2: Convert to fraction form
    3,643.22/5,468.26 = 2,003.24/x
  3. Step 3: Cross multiply
    3,643.22x = 5,468.26 × 2,003.24
  4. Step 4: Simplify right side
    3,643.22x = 10,954,237.16
  5. Step 5: Solve for x
    x = 10,954,237.16/3,643.22
  6. Step 6: Final answer
    x = 3,006.75

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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.