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Finding the Fourth Proportional to 5,408.64, 8,113.83 and 2,119.95

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Solution

The fourth proportional to 5,408.64, 8,113.83 and 2,119.95 is: 3,180.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.64 : 8,113.83 = 2,119.95 : x
  2. Step 2: Convert to fraction form
    5,408.64/8,113.83 = 2,119.95/x
  3. Step 3: Cross multiply
    5,408.64x = 8,113.83 × 2,119.95
  4. Step 4: Simplify right side
    5,408.64x = 17,200,913.91
  5. Step 5: Solve for x
    x = 17,200,913.91/5,408.64
  6. Step 6: Final answer
    x = 3,180.27

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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.