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Finding the Fourth Proportional to 3,409.98, 5,112.51 and 1,328.23

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Solution

The fourth proportional to 3,409.98, 5,112.51 and 1,328.23 is: 1,991.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.98 : 5,112.51 = 1,328.23 : x
  2. Step 2: Convert to fraction form
    3,409.98/5,112.51 = 1,328.23/x
  3. Step 3: Cross multiply
    3,409.98x = 5,112.51 × 1,328.23
  4. Step 4: Simplify right side
    3,409.98x = 6,790,589.16
  5. Step 5: Solve for x
    x = 6,790,589.16/3,409.98
  6. Step 6: Final answer
    x = 1,991.39

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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.