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Finding the Fourth Proportional to 3,998.64, 5,556.42 and 3,949.68

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Solution

The fourth proportional to 3,998.64, 5,556.42 and 3,949.68 is: 5,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.64 : 5,556.42 = 3,949.68 : x
  2. Step 2: Convert to fraction form
    3,998.64/5,556.42 = 3,949.68/x
  3. Step 3: Cross multiply
    3,998.64x = 5,556.42 × 3,949.68
  4. Step 4: Simplify right side
    3,998.64x = 21,946,080.95
  5. Step 5: Solve for x
    x = 21,946,080.95/3,998.64
  6. Step 6: Final answer
    x = 5,488.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.