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Finding the Fourth Proportional to 3,816.06, 5,726.04 and 1,843.37

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Solution

The fourth proportional to 3,816.06, 5,726.04 and 1,843.37 is: 2,766.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.06 : 5,726.04 = 1,843.37 : x
  2. Step 2: Convert to fraction form
    3,816.06/5,726.04 = 1,843.37/x
  3. Step 3: Cross multiply
    3,816.06x = 5,726.04 × 1,843.37
  4. Step 4: Simplify right side
    3,816.06x = 10,555,238.86
  5. Step 5: Solve for x
    x = 10,555,238.86/3,816.06
  6. Step 6: Final answer
    x = 2,766.00

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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.