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Finding the Fourth Proportional to 3,739.74, 5,161.26 and 2,806.62

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Solution

The fourth proportional to 3,739.74, 5,161.26 and 2,806.62 is: 3,873.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739.74 : 5,161.26 = 2,806.62 : x
  2. Step 2: Convert to fraction form
    3,739.74/5,161.26 = 2,806.62/x
  3. Step 3: Cross multiply
    3,739.74x = 5,161.26 × 2,806.62
  4. Step 4: Simplify right side
    3,739.74x = 14,485,695.54
  5. Step 5: Solve for x
    x = 14,485,695.54/3,739.74
  6. Step 6: Final answer
    x = 3,873.45

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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.