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Finding the Fourth Proportional to 4,165, 5,747.71 and 2,302

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Solution

The fourth proportional to 4,165, 5,747.71 and 2,302 is: 3,176.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165 : 5,747.71 = 2,302 : x
  2. Step 2: Convert to fraction form
    4,165/5,747.71 = 2,302/x
  3. Step 3: Cross multiply
    4,165x = 5,747.71 × 2,302
  4. Step 4: Simplify right side
    4,165x = 13,231,228.42
  5. Step 5: Solve for x
    x = 13,231,228.42/4,165
  6. Step 6: Final answer
    x = 3,176.77

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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.