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Finding the Fourth Proportional to 4,180, 5,768.43 and 2,317

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Solution

The fourth proportional to 4,180, 5,768.43 and 2,317 is: 3,197.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180 : 5,768.43 = 2,317 : x
  2. Step 2: Convert to fraction form
    4,180/5,768.43 = 2,317/x
  3. Step 3: Cross multiply
    4,180x = 5,768.43 × 2,317
  4. Step 4: Simplify right side
    4,180x = 13,365,452.31
  5. Step 5: Solve for x
    x = 13,365,452.31/4,180
  6. Step 6: Final answer
    x = 3,197.48

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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.