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Finding the Fourth Proportional to 3,584.73, 4,947 and 2,012.79

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Solution

The fourth proportional to 3,584.73, 4,947 and 2,012.79 is: 2,777.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.73 : 4,947 = 2,012.79 : x
  2. Step 2: Convert to fraction form
    3,584.73/4,947 = 2,012.79/x
  3. Step 3: Cross multiply
    3,584.73x = 4,947 × 2,012.79
  4. Step 4: Simplify right side
    3,584.73x = 9,957,272.13
  5. Step 5: Solve for x
    x = 9,957,272.13/3,584.73
  6. Step 6: Final answer
    x = 2,777.69

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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.