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Finding the Fourth Proportional to 3,871.29, 5,809.83 and 1,408.19

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Solution

The fourth proportional to 3,871.29, 5,809.83 and 1,408.19 is: 2,113.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.29 : 5,809.83 = 1,408.19 : x
  2. Step 2: Convert to fraction form
    3,871.29/5,809.83 = 1,408.19/x
  3. Step 3: Cross multiply
    3,871.29x = 5,809.83 × 1,408.19
  4. Step 4: Simplify right side
    3,871.29x = 8,181,310.18
  5. Step 5: Solve for x
    x = 8,181,310.18/3,871.29
  6. Step 6: Final answer
    x = 2,113.33

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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.