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Finding the Fourth Proportional to 3,406.49, 5,109.97 and 1,326.36

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Solution

The fourth proportional to 3,406.49, 5,109.97 and 1,326.36 is: 1,989.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.49 : 5,109.97 = 1,326.36 : x
  2. Step 2: Convert to fraction form
    3,406.49/5,109.97 = 1,326.36/x
  3. Step 3: Cross multiply
    3,406.49x = 5,109.97 × 1,326.36
  4. Step 4: Simplify right side
    3,406.49x = 6,777,659.81
  5. Step 5: Solve for x
    x = 6,777,659.81/3,406.49
  6. Step 6: Final answer
    x = 1,989.63

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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.