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Finding the Fourth Proportional to 3,584.89, 4,947.13 and 2,012.98

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Solution

The fourth proportional to 3,584.89, 4,947.13 and 2,012.98 is: 2,777.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.89 : 4,947.13 = 2,012.98 : x
  2. Step 2: Convert to fraction form
    3,584.89/4,947.13 = 2,012.98/x
  3. Step 3: Cross multiply
    3,584.89x = 4,947.13 × 2,012.98
  4. Step 4: Simplify right side
    3,584.89x = 9,958,473.75
  5. Step 5: Solve for x
    x = 9,958,473.75/3,584.89
  6. Step 6: Final answer
    x = 2,777.90

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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.