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Finding the Fourth Proportional to 3,243.69, 4,478.43 and 2,496.33

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Solution

The fourth proportional to 3,243.69, 4,478.43 and 2,496.33 is: 3,446.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.69 : 4,478.43 = 2,496.33 : x
  2. Step 2: Convert to fraction form
    3,243.69/4,478.43 = 2,496.33/x
  3. Step 3: Cross multiply
    3,243.69x = 4,478.43 × 2,496.33
  4. Step 4: Simplify right side
    3,243.69x = 11,179,639.16
  5. Step 5: Solve for x
    x = 11,179,639.16/3,243.69
  6. Step 6: Final answer
    x = 3,446.58

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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.