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Finding the Fourth Proportional to 4,804.87, 7,198.80 and 2,202.34

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Solution

The fourth proportional to 4,804.87, 7,198.80 and 2,202.34 is: 3,299.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.87 : 7,198.80 = 2,202.34 : x
  2. Step 2: Convert to fraction form
    4,804.87/7,198.80 = 2,202.34/x
  3. Step 3: Cross multiply
    4,804.87x = 7,198.80 × 2,202.34
  4. Step 4: Simplify right side
    4,804.87x = 15,854,205.19
  5. Step 5: Solve for x
    x = 15,854,205.19/4,804.87
  6. Step 6: Final answer
    x = 3,299.61

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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.