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Finding the Fourth Proportional to 3,605.57, 5,406.03 and 1,414.52

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Solution

The fourth proportional to 3,605.57, 5,406.03 and 1,414.52 is: 2,120.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.57 : 5,406.03 = 1,414.52 : x
  2. Step 2: Convert to fraction form
    3,605.57/5,406.03 = 1,414.52/x
  3. Step 3: Cross multiply
    3,605.57x = 5,406.03 × 1,414.52
  4. Step 4: Simplify right side
    3,605.57x = 7,646,937.56
  5. Step 5: Solve for x
    x = 7,646,937.56/3,605.57
  6. Step 6: Final answer
    x = 2,120.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.