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Finding the Fourth Proportional to 5,408.60, 8,112.71 and 1,512.99

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Solution

The fourth proportional to 5,408.60, 8,112.71 and 1,512.99 is: 2,269.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.60 : 8,112.71 = 1,512.99 : x
  2. Step 2: Convert to fraction form
    5,408.60/8,112.71 = 1,512.99/x
  3. Step 3: Cross multiply
    5,408.60x = 8,112.71 × 1,512.99
  4. Step 4: Simplify right side
    5,408.60x = 12,274,452.89
  5. Step 5: Solve for x
    x = 12,274,452.89/5,408.60
  6. Step 6: Final answer
    x = 2,269.43

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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.