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Finding the Fourth Proportional to 3,873.26, 5,806.65 and 1,794.75

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Solution

The fourth proportional to 3,873.26, 5,806.65 and 1,794.75 is: 2,690.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.26 : 5,806.65 = 1,794.75 : x
  2. Step 2: Convert to fraction form
    3,873.26/5,806.65 = 1,794.75/x
  3. Step 3: Cross multiply
    3,873.26x = 5,806.65 × 1,794.75
  4. Step 4: Simplify right side
    3,873.26x = 10,421,497.66
  5. Step 5: Solve for x
    x = 10,421,497.66/3,873.26
  6. Step 6: Final answer
    x = 2,690.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.