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Finding the Fourth Proportional to 3,845.44, 5,772.48 and 2,549.44

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Solution

The fourth proportional to 3,845.44, 5,772.48 and 2,549.44 is: 3,827.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.44 : 5,772.48 = 2,549.44 : x
  2. Step 2: Convert to fraction form
    3,845.44/5,772.48 = 2,549.44/x
  3. Step 3: Cross multiply
    3,845.44x = 5,772.48 × 2,549.44
  4. Step 4: Simplify right side
    3,845.44x = 14,716,591.41
  5. Step 5: Solve for x
    x = 14,716,591.41/3,845.44
  6. Step 6: Final answer
    x = 3,827.02

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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.