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Finding the Fourth Proportional to 3,604.13, 5,402.97 and 1,414.39

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Solution

The fourth proportional to 3,604.13, 5,402.97 and 1,414.39 is: 2,120.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.13 : 5,402.97 = 1,414.39 : x
  2. Step 2: Convert to fraction form
    3,604.13/5,402.97 = 1,414.39/x
  3. Step 3: Cross multiply
    3,604.13x = 5,402.97 × 1,414.39
  4. Step 4: Simplify right side
    3,604.13x = 7,641,906.74
  5. Step 5: Solve for x
    x = 7,641,906.74/3,604.13
  6. Step 6: Final answer
    x = 2,120.32

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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.