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Finding the Fourth Proportional to 3,620.97, 5,434.19 and 2,649.58

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Solution

The fourth proportional to 3,620.97, 5,434.19 and 2,649.58 is: 3,976.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620.97 : 5,434.19 = 2,649.58 : x
  2. Step 2: Convert to fraction form
    3,620.97/5,434.19 = 2,649.58/x
  3. Step 3: Cross multiply
    3,620.97x = 5,434.19 × 2,649.58
  4. Step 4: Simplify right side
    3,620.97x = 14,398,294.31
  5. Step 5: Solve for x
    x = 14,398,294.31/3,620.97
  6. Step 6: Final answer
    x = 3,976.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.