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Finding the Fourth Proportional to 3,640.97, 5,024.54 and 2,069.06

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Solution

The fourth proportional to 3,640.97, 5,024.54 and 2,069.06 is: 2,855.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.97 : 5,024.54 = 2,069.06 : x
  2. Step 2: Convert to fraction form
    3,640.97/5,024.54 = 2,069.06/x
  3. Step 3: Cross multiply
    3,640.97x = 5,024.54 × 2,069.06
  4. Step 4: Simplify right side
    3,640.97x = 10,396,076.95
  5. Step 5: Solve for x
    x = 10,396,076.95/3,640.97
  6. Step 6: Final answer
    x = 2,855.30

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1.5x scale

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.