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Finding the Fourth Proportional to 3,739.77, 5,161.14 and 2,247.66

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Solution

The fourth proportional to 3,739.77, 5,161.14 and 2,247.66 is: 3,101.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739.77 : 5,161.14 = 2,247.66 : x
  2. Step 2: Convert to fraction form
    3,739.77/5,161.14 = 2,247.66/x
  3. Step 3: Cross multiply
    3,739.77x = 5,161.14 × 2,247.66
  4. Step 4: Simplify right side
    3,739.77x = 11,600,487.93
  5. Step 5: Solve for x
    x = 11,600,487.93/3,739.77
  6. Step 6: Final answer
    x = 3,101.93

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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.