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Finding the Fourth Proportional to 3,998.14, 5,520.15 and 2,585.24

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Solution

The fourth proportional to 3,998.14, 5,520.15 and 2,585.24 is: 3,569.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.14 : 5,520.15 = 2,585.24 : x
  2. Step 2: Convert to fraction form
    3,998.14/5,520.15 = 2,585.24/x
  3. Step 3: Cross multiply
    3,998.14x = 5,520.15 × 2,585.24
  4. Step 4: Simplify right side
    3,998.14x = 14,270,912.59
  5. Step 5: Solve for x
    x = 14,270,912.59/3,998.14
  6. Step 6: Final answer
    x = 3,569.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.