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Finding the Fourth Proportional to 5,739.87, 8,608.98 and 1,843.77

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Solution

The fourth proportional to 5,739.87, 8,608.98 and 1,843.77 is: 2,765.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.87 : 8,608.98 = 1,843.77 : x
  2. Step 2: Convert to fraction form
    5,739.87/8,608.98 = 1,843.77/x
  3. Step 3: Cross multiply
    5,739.87x = 8,608.98 × 1,843.77
  4. Step 4: Simplify right side
    5,739.87x = 15,872,979.05
  5. Step 5: Solve for x
    x = 15,872,979.05/5,739.87
  6. Step 6: Final answer
    x = 2,765.39

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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.