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Finding the Fourth Proportional to 3,605.44, 4,976.22 and 2,278.48

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Solution

The fourth proportional to 3,605.44, 4,976.22 and 2,278.48 is: 3,144.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.44 : 4,976.22 = 2,278.48 : x
  2. Step 2: Convert to fraction form
    3,605.44/4,976.22 = 2,278.48/x
  3. Step 3: Cross multiply
    3,605.44x = 4,976.22 × 2,278.48
  4. Step 4: Simplify right side
    3,605.44x = 11,338,217.75
  5. Step 5: Solve for x
    x = 11,338,217.75/3,605.44
  6. Step 6: Final answer
    x = 3,144.75

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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.