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Finding the Fourth Proportional to 3,490.32, 5,231.23 and 1,638.97

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Solution

The fourth proportional to 3,490.32, 5,231.23 and 1,638.97 is: 2,456.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.32 : 5,231.23 = 1,638.97 : x
  2. Step 2: Convert to fraction form
    3,490.32/5,231.23 = 1,638.97/x
  3. Step 3: Cross multiply
    3,490.32x = 5,231.23 × 1,638.97
  4. Step 4: Simplify right side
    3,490.32x = 8,573,829.03
  5. Step 5: Solve for x
    x = 8,573,829.03/3,490.32
  6. Step 6: Final answer
    x = 2,456.46

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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.