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Finding the Fourth Proportional to 3,606.75, 5,410.71 and 1,414.29

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Solution

The fourth proportional to 3,606.75, 5,410.71 and 1,414.29 is: 2,121.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.75 : 5,410.71 = 1,414.29 : x
  2. Step 2: Convert to fraction form
    3,606.75/5,410.71 = 1,414.29/x
  3. Step 3: Cross multiply
    3,606.75x = 5,410.71 × 1,414.29
  4. Step 4: Simplify right side
    3,606.75x = 7,652,313.05
  5. Step 5: Solve for x
    x = 7,652,313.05/3,606.75
  6. Step 6: Final answer
    x = 2,121.66

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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.