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Finding the Fourth Proportional to 6,503.44, 8,974.81 and 3,519.33

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Solution

The fourth proportional to 6,503.44, 8,974.81 and 3,519.33 is: 4,856.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.44 : 8,974.81 = 3,519.33 : x
  2. Step 2: Convert to fraction form
    6,503.44/8,974.81 = 3,519.33/x
  3. Step 3: Cross multiply
    6,503.44x = 8,974.81 × 3,519.33
  4. Step 4: Simplify right side
    6,503.44x = 31,585,318.08
  5. Step 5: Solve for x
    x = 31,585,318.08/6,503.44
  6. Step 6: Final answer
    x = 4,856.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.