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Finding the Fourth Proportional to 3,918.82, 5,879.24 and 1,454.34

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Solution

The fourth proportional to 3,918.82, 5,879.24 and 1,454.34 is: 2,181.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.82 : 5,879.24 = 1,454.34 : x
  2. Step 2: Convert to fraction form
    3,918.82/5,879.24 = 1,454.34/x
  3. Step 3: Cross multiply
    3,918.82x = 5,879.24 × 1,454.34
  4. Step 4: Simplify right side
    3,918.82x = 8,550,406.63
  5. Step 5: Solve for x
    x = 8,550,406.63/3,918.82
  6. Step 6: Final answer
    x = 2,181.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.