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Finding the Fourth Proportional to 4,441.44, 6,661.86 and 2,706.42

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Solution

The fourth proportional to 4,441.44, 6,661.86 and 2,706.42 is: 4,059.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,441.44 : 6,661.86 = 2,706.42 : x
  2. Step 2: Convert to fraction form
    4,441.44/6,661.86 = 2,706.42/x
  3. Step 3: Cross multiply
    4,441.44x = 6,661.86 × 2,706.42
  4. Step 4: Simplify right side
    4,441.44x = 18,029,791.14
  5. Step 5: Solve for x
    x = 18,029,791.14/4,441.44
  6. Step 6: Final answer
    x = 4,059.45

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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.