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Finding the Fourth Proportional to 3,379.54, 5,069.94 and 1,299.46

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Solution

The fourth proportional to 3,379.54, 5,069.94 and 1,299.46 is: 1,949.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,379.54 : 5,069.94 = 1,299.46 : x
  2. Step 2: Convert to fraction form
    3,379.54/5,069.94 = 1,299.46/x
  3. Step 3: Cross multiply
    3,379.54x = 5,069.94 × 1,299.46
  4. Step 4: Simplify right side
    3,379.54x = 6,588,184.23
  5. Step 5: Solve for x
    x = 6,588,184.23/3,379.54
  6. Step 6: Final answer
    x = 1,949.43

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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.