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Finding the Fourth Proportional to 3,728.80, 5,584.20 and 1,993.60

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Solution

The fourth proportional to 3,728.80, 5,584.20 and 1,993.60 is: 2,985.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.80 : 5,584.20 = 1,993.60 : x
  2. Step 2: Convert to fraction form
    3,728.80/5,584.20 = 1,993.60/x
  3. Step 3: Cross multiply
    3,728.80x = 5,584.20 × 1,993.60
  4. Step 4: Simplify right side
    3,728.80x = 11,132,661.12
  5. Step 5: Solve for x
    x = 11,132,661.12/3,728.80
  6. Step 6: Final answer
    x = 2,985.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.