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Finding the Fourth Proportional to 3,514.69, 5,267.94 and 1,954.33

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Solution

The fourth proportional to 3,514.69, 5,267.94 and 1,954.33 is: 2,929.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.69 : 5,267.94 = 1,954.33 : x
  2. Step 2: Convert to fraction form
    3,514.69/5,267.94 = 1,954.33/x
  3. Step 3: Cross multiply
    3,514.69x = 5,267.94 × 1,954.33
  4. Step 4: Simplify right side
    3,514.69x = 10,295,272.68
  5. Step 5: Solve for x
    x = 10,295,272.68/3,514.69
  6. Step 6: Final answer
    x = 2,929.21

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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.