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Finding the Fourth Proportional to 3,408.60, 5,111.90 and 1,328.13

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Solution

The fourth proportional to 3,408.60, 5,111.90 and 1,328.13 is: 1,991.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.60 : 5,111.90 = 1,328.13 : x
  2. Step 2: Convert to fraction form
    3,408.60/5,111.90 = 1,328.13/x
  3. Step 3: Cross multiply
    3,408.60x = 5,111.90 × 1,328.13
  4. Step 4: Simplify right side
    3,408.60x = 6,789,267.75
  5. Step 5: Solve for x
    x = 6,789,267.75/3,408.60
  6. Step 6: Final answer
    x = 1,991.81

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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.