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Finding the Fourth Proportional to 4,114.15, 5,674.42 and 2,855.21

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Solution

The fourth proportional to 4,114.15, 5,674.42 and 2,855.21 is: 3,938.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.15 : 5,674.42 = 2,855.21 : x
  2. Step 2: Convert to fraction form
    4,114.15/5,674.42 = 2,855.21/x
  3. Step 3: Cross multiply
    4,114.15x = 5,674.42 × 2,855.21
  4. Step 4: Simplify right side
    4,114.15x = 16,201,660.73
  5. Step 5: Solve for x
    x = 16,201,660.73/4,114.15
  6. Step 6: Final answer
    x = 3,938.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.