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Finding the Fourth Proportional to 3,490.70, 5,238.09 and 1,299.38

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Solution

The fourth proportional to 3,490.70, 5,238.09 and 1,299.38 is: 1,949.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.70 : 5,238.09 = 1,299.38 : x
  2. Step 2: Convert to fraction form
    3,490.70/5,238.09 = 1,299.38/x
  3. Step 3: Cross multiply
    3,490.70x = 5,238.09 × 1,299.38
  4. Step 4: Simplify right side
    3,490.70x = 6,806,243.19
  5. Step 5: Solve for x
    x = 6,806,243.19/3,490.70
  6. Step 6: Final answer
    x = 1,949.82

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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.