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Finding the Fourth Proportional to 3,643.62, 5,026.77 and 2,243.94

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Solution

The fourth proportional to 3,643.62, 5,026.77 and 2,243.94 is: 3,095.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.62 : 5,026.77 = 2,243.94 : x
  2. Step 2: Convert to fraction form
    3,643.62/5,026.77 = 2,243.94/x
  3. Step 3: Cross multiply
    3,643.62x = 5,026.77 × 2,243.94
  4. Step 4: Simplify right side
    3,643.62x = 11,279,770.27
  5. Step 5: Solve for x
    x = 11,279,770.27/3,643.62
  6. Step 6: Final answer
    x = 3,095.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.