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Finding the Fourth Proportional to 4,919.44, 7,379.22 and 2,866

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Solution

The fourth proportional to 4,919.44, 7,379.22 and 2,866 is: 4,299.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,919.44 : 7,379.22 = 2,866 : x
  2. Step 2: Convert to fraction form
    4,919.44/7,379.22 = 2,866/x
  3. Step 3: Cross multiply
    4,919.44x = 7,379.22 × 2,866
  4. Step 4: Simplify right side
    4,919.44x = 21,148,844.52
  5. Step 5: Solve for x
    x = 21,148,844.52/4,919.44
  6. Step 6: Final answer
    x = 4,299.03

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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.