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Finding the Fourth Proportional to 3,409.80, 5,112.23 and 1,328.05

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Solution

The fourth proportional to 3,409.80, 5,112.23 and 1,328.05 is: 1,991.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.80 : 5,112.23 = 1,328.05 : x
  2. Step 2: Convert to fraction form
    3,409.80/5,112.23 = 1,328.05/x
  3. Step 3: Cross multiply
    3,409.80x = 5,112.23 × 1,328.05
  4. Step 4: Simplify right side
    3,409.80x = 6,789,271.49
  5. Step 5: Solve for x
    x = 6,789,271.49/3,409.80
  6. Step 6: Final answer
    x = 1,991.11

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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.