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Finding the Fourth Proportional to 5,739.05, 8,608.28 and 1,843.16

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Solution

The fourth proportional to 5,739.05, 8,608.28 and 1,843.16 is: 2,764.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.05 : 8,608.28 = 1,843.16 : x
  2. Step 2: Convert to fraction form
    5,739.05/8,608.28 = 1,843.16/x
  3. Step 3: Cross multiply
    5,739.05x = 8,608.28 × 1,843.16
  4. Step 4: Simplify right side
    5,739.05x = 15,866,385.11
  5. Step 5: Solve for x
    x = 15,866,385.11/5,739.05
  6. Step 6: Final answer
    x = 2,764.63

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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.