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Finding the Fourth Proportional to 4,768.81, 7,153.21 and 1,481.90

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Solution

The fourth proportional to 4,768.81, 7,153.21 and 1,481.90 is: 2,222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.81 : 7,153.21 = 1,481.90 : x
  2. Step 2: Convert to fraction form
    4,768.81/7,153.21 = 1,481.90/x
  3. Step 3: Cross multiply
    4,768.81x = 7,153.21 × 1,481.90
  4. Step 4: Simplify right side
    4,768.81x = 10,600,348.22
  5. Step 5: Solve for x
    x = 10,600,348.22/4,768.81
  6. Step 6: Final answer
    x = 2,222.85

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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.