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Finding the Fourth Proportional to 3,584.64, 4,947.14 and 2,092.26

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Solution

The fourth proportional to 3,584.64, 4,947.14 and 2,092.26 is: 2,887.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.64 : 4,947.14 = 2,092.26 : x
  2. Step 2: Convert to fraction form
    3,584.64/4,947.14 = 2,092.26/x
  3. Step 3: Cross multiply
    3,584.64x = 4,947.14 × 2,092.26
  4. Step 4: Simplify right side
    3,584.64x = 10,350,692.68
  5. Step 5: Solve for x
    x = 10,350,692.68/3,584.64
  6. Step 6: Final answer
    x = 2,887.51

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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.