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Finding the Fourth Proportional to 3,409.09, 5,111.22 and 1,327.34

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Solution

The fourth proportional to 3,409.09, 5,111.22 and 1,327.34 is: 1,990.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.09 : 5,111.22 = 1,327.34 : x
  2. Step 2: Convert to fraction form
    3,409.09/5,111.22 = 1,327.34/x
  3. Step 3: Cross multiply
    3,409.09x = 5,111.22 × 1,327.34
  4. Step 4: Simplify right side
    3,409.09x = 6,784,308.29
  5. Step 5: Solve for x
    x = 6,784,308.29/3,409.09
  6. Step 6: Final answer
    x = 1,990.07

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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.