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Finding the Fourth Proportional to 4,198.93, 5,794.05 and 2,520.42

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Solution

The fourth proportional to 4,198.93, 5,794.05 and 2,520.42 is: 3,477.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.93 : 5,794.05 = 2,520.42 : x
  2. Step 2: Convert to fraction form
    4,198.93/5,794.05 = 2,520.42/x
  3. Step 3: Cross multiply
    4,198.93x = 5,794.05 × 2,520.42
  4. Step 4: Simplify right side
    4,198.93x = 14,603,439.50
  5. Step 5: Solve for x
    x = 14,603,439.50/4,198.93
  6. Step 6: Final answer
    x = 3,477.90

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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.