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Finding the Fourth Proportional to 4,447.85, 6,662.84 and 2,072.57

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Solution

The fourth proportional to 4,447.85, 6,662.84 and 2,072.57 is: 3,104.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,447.85 : 6,662.84 = 2,072.57 : x
  2. Step 2: Convert to fraction form
    4,447.85/6,662.84 = 2,072.57/x
  3. Step 3: Cross multiply
    4,447.85x = 6,662.84 × 2,072.57
  4. Step 4: Simplify right side
    4,447.85x = 13,809,158.62
  5. Step 5: Solve for x
    x = 13,809,158.62/4,447.85
  6. Step 6: Final answer
    x = 3,104.69

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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.