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Finding the Fourth Proportional to 3,771.75, 5,647.08 and 2,844.41

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Solution

The fourth proportional to 3,771.75, 5,647.08 and 2,844.41 is: 4,258.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.75 : 5,647.08 = 2,844.41 : x
  2. Step 2: Convert to fraction form
    3,771.75/5,647.08 = 2,844.41/x
  3. Step 3: Cross multiply
    3,771.75x = 5,647.08 × 2,844.41
  4. Step 4: Simplify right side
    3,771.75x = 16,062,582.59
  5. Step 5: Solve for x
    x = 16,062,582.59/3,771.75
  6. Step 6: Final answer
    x = 4,258.66

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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.