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Finding the Fourth Proportional to 5,161.44, 7,745.25 and 1,874.80

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Solution

The fourth proportional to 5,161.44, 7,745.25 and 1,874.80 is: 2,813.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.44 : 7,745.25 = 1,874.80 : x
  2. Step 2: Convert to fraction form
    5,161.44/7,745.25 = 1,874.80/x
  3. Step 3: Cross multiply
    5,161.44x = 7,745.25 × 1,874.80
  4. Step 4: Simplify right side
    5,161.44x = 14,520,811.41
  5. Step 5: Solve for x
    x = 14,520,811.41/5,161.44
  6. Step 6: Final answer
    x = 2,813.32

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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.