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Finding the Fourth Proportional to 5,408.64, 8,107.38 and 3,924.16

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Solution

The fourth proportional to 5,408.64, 8,107.38 and 3,924.16 is: 5,882.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.64 : 8,107.38 = 3,924.16 : x
  2. Step 2: Convert to fraction form
    5,408.64/8,107.38 = 3,924.16/x
  3. Step 3: Cross multiply
    5,408.64x = 8,107.38 × 3,924.16
  4. Step 4: Simplify right side
    5,408.64x = 31,814,615.76
  5. Step 5: Solve for x
    x = 31,814,615.76/5,408.64
  6. Step 6: Final answer
    x = 5,882.19

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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.