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Finding the Fourth Proportional to 3,893.58, 5,846.30 and 3,767.37

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Solution

The fourth proportional to 3,893.58, 5,846.30 and 3,767.37 is: 5,656.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.58 : 5,846.30 = 3,767.37 : x
  2. Step 2: Convert to fraction form
    3,893.58/5,846.30 = 3,767.37/x
  3. Step 3: Cross multiply
    3,893.58x = 5,846.30 × 3,767.37
  4. Step 4: Simplify right side
    3,893.58x = 22,025,189.85
  5. Step 5: Solve for x
    x = 22,025,189.85/3,893.58
  6. Step 6: Final answer
    x = 5,656.80

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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.