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Finding the Fourth Proportional to 3,818.94, 5,728.50 and 1,844.26

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Solution

The fourth proportional to 3,818.94, 5,728.50 and 1,844.26 is: 2,766.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.94 : 5,728.50 = 1,844.26 : x
  2. Step 2: Convert to fraction form
    3,818.94/5,728.50 = 1,844.26/x
  3. Step 3: Cross multiply
    3,818.94x = 5,728.50 × 1,844.26
  4. Step 4: Simplify right side
    3,818.94x = 10,564,843.41
  5. Step 5: Solve for x
    x = 10,564,843.41/3,818.94
  6. Step 6: Final answer
    x = 2,766.43

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Why These Related Problems?

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