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Finding the Fourth Proportional to 3,694.88, 5,120.96 and 3,625.76

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Solution

The fourth proportional to 3,694.88, 5,120.96 and 3,625.76 is: 5,025.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.88 : 5,120.96 = 3,625.76 : x
  2. Step 2: Convert to fraction form
    3,694.88/5,120.96 = 3,625.76/x
  3. Step 3: Cross multiply
    3,694.88x = 5,120.96 × 3,625.76
  4. Step 4: Simplify right side
    3,694.88x = 18,567,371.93
  5. Step 5: Solve for x
    x = 18,567,371.93/3,694.88
  6. Step 6: Final answer
    x = 5,025.16

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.