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Finding the Fourth Proportional to 4,175.88, 5,757.24 and 3,468.36

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Solution

The fourth proportional to 4,175.88, 5,757.24 and 3,468.36 is: 4,781.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.88 : 5,757.24 = 3,468.36 : x
  2. Step 2: Convert to fraction form
    4,175.88/5,757.24 = 3,468.36/x
  3. Step 3: Cross multiply
    4,175.88x = 5,757.24 × 3,468.36
  4. Step 4: Simplify right side
    4,175.88x = 19,968,180.93
  5. Step 5: Solve for x
    x = 19,968,180.93/4,175.88
  6. Step 6: Final answer
    x = 4,781.79

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