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Finding the Fourth Proportional to 3,739.80, 5,611.14 and 1,793.64

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Solution

The fourth proportional to 3,739.80, 5,611.14 and 1,793.64 is: 2,691.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739.80 : 5,611.14 = 1,793.64 : x
  2. Step 2: Convert to fraction form
    3,739.80/5,611.14 = 1,793.64/x
  3. Step 3: Cross multiply
    3,739.80x = 5,611.14 × 1,793.64
  4. Step 4: Simplify right side
    3,739.80x = 10,064,365.15
  5. Step 5: Solve for x
    x = 10,064,365.15/3,739.80
  6. Step 6: Final answer
    x = 2,691.15

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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.