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Finding the Fourth Proportional to 5,408.61, 8,110 and 2,775.03

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Solution

The fourth proportional to 5,408.61, 8,110 and 2,775.03 is: 4,161.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.61 : 8,110 = 2,775.03 : x
  2. Step 2: Convert to fraction form
    5,408.61/8,110 = 2,775.03/x
  3. Step 3: Cross multiply
    5,408.61x = 8,110 × 2,775.03
  4. Step 4: Simplify right side
    5,408.61x = 22,505,493.30
  5. Step 5: Solve for x
    x = 22,505,493.30/5,408.61
  6. Step 6: Final answer
    x = 4,161.05

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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.