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Finding the Fourth Proportional to 3,408.91, 5,112.26 and 1,328.40

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Solution

The fourth proportional to 3,408.91, 5,112.26 and 1,328.40 is: 1,992.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.91 : 5,112.26 = 1,328.40 : x
  2. Step 2: Convert to fraction form
    3,408.91/5,112.26 = 1,328.40/x
  3. Step 3: Cross multiply
    3,408.91x = 5,112.26 × 1,328.40
  4. Step 4: Simplify right side
    3,408.91x = 6,791,132.00
  5. Step 5: Solve for x
    x = 6,791,132.00/3,408.91
  6. Step 6: Final answer
    x = 1,992.17

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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.