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Finding the Fourth Proportional to 3,577.97, 5,367.82 and 1,496.82

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Solution

The fourth proportional to 3,577.97, 5,367.82 and 1,496.82 is: 2,245.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.97 : 5,367.82 = 1,496.82 : x
  2. Step 2: Convert to fraction form
    3,577.97/5,367.82 = 1,496.82/x
  3. Step 3: Cross multiply
    3,577.97x = 5,367.82 × 1,496.82
  4. Step 4: Simplify right side
    3,577.97x = 8,034,656.59
  5. Step 5: Solve for x
    x = 8,034,656.59/3,577.97
  6. Step 6: Final answer
    x = 2,245.59

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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.