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Finding the Fourth Proportional to 4,255.66, 5,872.74 and 2,367.22

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Solution

The fourth proportional to 4,255.66, 5,872.74 and 2,367.22 is: 3,266.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,255.66 : 5,872.74 = 2,367.22 : x
  2. Step 2: Convert to fraction form
    4,255.66/5,872.74 = 2,367.22/x
  3. Step 3: Cross multiply
    4,255.66x = 5,872.74 × 2,367.22
  4. Step 4: Simplify right side
    4,255.66x = 13,902,067.58
  5. Step 5: Solve for x
    x = 13,902,067.58/4,255.66
  6. Step 6: Final answer
    x = 3,266.72

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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.