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Finding the Fourth Proportional to 5,738.66, 8,608.70 and 1,843.17

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Solution

The fourth proportional to 5,738.66, 8,608.70 and 1,843.17 is: 2,764.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.66 : 8,608.70 = 1,843.17 : x
  2. Step 2: Convert to fraction form
    5,738.66/8,608.70 = 1,843.17/x
  3. Step 3: Cross multiply
    5,738.66x = 8,608.70 × 1,843.17
  4. Step 4: Simplify right side
    5,738.66x = 15,867,297.58
  5. Step 5: Solve for x
    x = 15,867,297.58/5,738.66
  6. Step 6: Final answer
    x = 2,764.98

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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.