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Finding the Fourth Proportional to 3,996.63, 5,514.81 and 2,317.80

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Solution

The fourth proportional to 3,996.63, 5,514.81 and 2,317.80 is: 3,198.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996.63 : 5,514.81 = 2,317.80 : x
  2. Step 2: Convert to fraction form
    3,996.63/5,514.81 = 2,317.80/x
  3. Step 3: Cross multiply
    3,996.63x = 5,514.81 × 2,317.80
  4. Step 4: Simplify right side
    3,996.63x = 12,782,226.62
  5. Step 5: Solve for x
    x = 12,782,226.62/3,996.63
  6. Step 6: Final answer
    x = 3,198.25

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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.