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Finding the Fourth Proportional to 3,408.98, 4,704.62 and 2,568.20

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Solution

The fourth proportional to 3,408.98, 4,704.62 and 2,568.20 is: 3,544.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.98 : 4,704.62 = 2,568.20 : x
  2. Step 2: Convert to fraction form
    3,408.98/4,704.62 = 2,568.20/x
  3. Step 3: Cross multiply
    3,408.98x = 4,704.62 × 2,568.20
  4. Step 4: Simplify right side
    3,408.98x = 12,082,368.72
  5. Step 5: Solve for x
    x = 12,082,368.72/3,408.98
  6. Step 6: Final answer
    x = 3,544.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.