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Finding the Fourth Proportional to 4,105, 5,664.90 and 2,242

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Solution

The fourth proportional to 4,105, 5,664.90 and 2,242 is: 3,093.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105 : 5,664.90 = 2,242 : x
  2. Step 2: Convert to fraction form
    4,105/5,664.90 = 2,242/x
  3. Step 3: Cross multiply
    4,105x = 5,664.90 × 2,242
  4. Step 4: Simplify right side
    4,105x = 12,700,705.80
  5. Step 5: Solve for x
    x = 12,700,705.80/4,105
  6. Step 6: Final answer
    x = 3,093.96

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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.