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Finding the Fourth Proportional to 3,793.06, 5,689.61 and 1,843.59

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Solution

The fourth proportional to 3,793.06, 5,689.61 and 1,843.59 is: 2,765.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.06 : 5,689.61 = 1,843.59 : x
  2. Step 2: Convert to fraction form
    3,793.06/5,689.61 = 1,843.59/x
  3. Step 3: Cross multiply
    3,793.06x = 5,689.61 × 1,843.59
  4. Step 4: Simplify right side
    3,793.06x = 10,489,327.13
  5. Step 5: Solve for x
    x = 10,489,327.13/3,793.06
  6. Step 6: Final answer
    x = 2,765.40

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