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Finding the Fourth Proportional to 3,741.74, 5,163.44 and 2,208.66

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Solution

The fourth proportional to 3,741.74, 5,163.44 and 2,208.66 is: 3,047.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.74 : 5,163.44 = 2,208.66 : x
  2. Step 2: Convert to fraction form
    3,741.74/5,163.44 = 2,208.66/x
  3. Step 3: Cross multiply
    3,741.74x = 5,163.44 × 2,208.66
  4. Step 4: Simplify right side
    3,741.74x = 11,404,257.57
  5. Step 5: Solve for x
    x = 11,404,257.57/3,741.74
  6. Step 6: Final answer
    x = 3,047.85

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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.