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Finding the Fourth Proportional to 3,660, 5,485 and 1,684.48

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Solution

The fourth proportional to 3,660, 5,485 and 1,684.48 is: 2,524.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660 : 5,485 = 1,684.48 : x
  2. Step 2: Convert to fraction form
    3,660/5,485 = 1,684.48/x
  3. Step 3: Cross multiply
    3,660x = 5,485 × 1,684.48
  4. Step 4: Simplify right side
    3,660x = 9,239,372.80
  5. Step 5: Solve for x
    x = 9,239,372.80/3,660
  6. Step 6: Final answer
    x = 2,524.42

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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.