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Finding the Fourth Proportional to 4,813.20, 7,198.20 and 4,035.60

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Solution

The fourth proportional to 4,813.20, 7,198.20 and 4,035.60 is: 6,035.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.20 : 7,198.20 = 4,035.60 : x
  2. Step 2: Convert to fraction form
    4,813.20/7,198.20 = 4,035.60/x
  3. Step 3: Cross multiply
    4,813.20x = 7,198.20 × 4,035.60
  4. Step 4: Simplify right side
    4,813.20x = 29,049,055.92
  5. Step 5: Solve for x
    x = 29,049,055.92/4,813.20
  6. Step 6: Final answer
    x = 6,035.29

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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.