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Finding the Fourth Proportional to 3,584.88, 4,947.12 and 2,092.86

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Solution

The fourth proportional to 3,584.88, 4,947.12 and 2,092.86 is: 2,888.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.88 : 4,947.12 = 2,092.86 : x
  2. Step 2: Convert to fraction form
    3,584.88/4,947.12 = 2,092.86/x
  3. Step 3: Cross multiply
    3,584.88x = 4,947.12 × 2,092.86
  4. Step 4: Simplify right side
    3,584.88x = 10,353,629.56
  5. Step 5: Solve for x
    x = 10,353,629.56/3,584.88
  6. Step 6: Final answer
    x = 2,888.14

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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.