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Finding the Fourth Proportional to 3,514.59, 5,295.31 and 3,181.44

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Solution

The fourth proportional to 3,514.59, 5,295.31 and 3,181.44 is: 4,793.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.59 : 5,295.31 = 3,181.44 : x
  2. Step 2: Convert to fraction form
    3,514.59/5,295.31 = 3,181.44/x
  3. Step 3: Cross multiply
    3,514.59x = 5,295.31 × 3,181.44
  4. Step 4: Simplify right side
    3,514.59x = 16,846,668.66
  5. Step 5: Solve for x
    x = 16,846,668.66/3,514.59
  6. Step 6: Final answer
    x = 4,793.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.