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Finding the Fourth Proportional to 3,490.49, 5,234.06 and 1,640.04

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Solution

The fourth proportional to 3,490.49, 5,234.06 and 1,640.04 is: 2,459.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.49 : 5,234.06 = 1,640.04 : x
  2. Step 2: Convert to fraction form
    3,490.49/5,234.06 = 1,640.04/x
  3. Step 3: Cross multiply
    3,490.49x = 5,234.06 × 1,640.04
  4. Step 4: Simplify right side
    3,490.49x = 8,584,059.56
  5. Step 5: Solve for x
    x = 8,584,059.56/3,490.49
  6. Step 6: Final answer
    x = 2,459.27

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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.