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Finding the Fourth Proportional to 3,677.44, 5,516.16 and 1,080.38

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Solution

The fourth proportional to 3,677.44, 5,516.16 and 1,080.38 is: 1,620.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.44 : 5,516.16 = 1,080.38 : x
  2. Step 2: Convert to fraction form
    3,677.44/5,516.16 = 1,080.38/x
  3. Step 3: Cross multiply
    3,677.44x = 5,516.16 × 1,080.38
  4. Step 4: Simplify right side
    3,677.44x = 5,959,517.31
  5. Step 5: Solve for x
    x = 5,959,517.31/3,677.44
  6. Step 6: Final answer
    x = 1,620.56

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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.