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Finding the Fourth Proportional to 3,741.69, 5,163.98 and 2,169.84

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Solution

The fourth proportional to 3,741.69, 5,163.98 and 2,169.84 is: 2,994.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.69 : 5,163.98 = 2,169.84 : x
  2. Step 2: Convert to fraction form
    3,741.69/5,163.98 = 2,169.84/x
  3. Step 3: Cross multiply
    3,741.69x = 5,163.98 × 2,169.84
  4. Step 4: Simplify right side
    3,741.69x = 11,204,999.51
  5. Step 5: Solve for x
    x = 11,204,999.51/3,741.69
  6. Step 6: Final answer
    x = 2,994.64

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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.