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Finding the Fourth Proportional to 3,751.85, 5,627.77 and 1,441.73

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Solution

The fourth proportional to 3,751.85, 5,627.77 and 1,441.73 is: 2,162.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.85 : 5,627.77 = 1,441.73 : x
  2. Step 2: Convert to fraction form
    3,751.85/5,627.77 = 1,441.73/x
  3. Step 3: Cross multiply
    3,751.85x = 5,627.77 × 1,441.73
  4. Step 4: Simplify right side
    3,751.85x = 8,113,735.31
  5. Step 5: Solve for x
    x = 8,113,735.31/3,751.85
  6. Step 6: Final answer
    x = 2,162.59

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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.