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Finding the Fourth Proportional to 4,144.68, 5,717.86 and 2,375.88

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Solution

The fourth proportional to 4,144.68, 5,717.86 and 2,375.88 is: 3,277.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,144.68 : 5,717.86 = 2,375.88 : x
  2. Step 2: Convert to fraction form
    4,144.68/5,717.86 = 2,375.88/x
  3. Step 3: Cross multiply
    4,144.68x = 5,717.86 × 2,375.88
  4. Step 4: Simplify right side
    4,144.68x = 13,584,949.22
  5. Step 5: Solve for x
    x = 13,584,949.22/4,144.68
  6. Step 6: Final answer
    x = 3,277.68

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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.