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Finding the Fourth Proportional to 2,998.88, 4,138.76 and 2,556.64

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Solution

The fourth proportional to 2,998.88, 4,138.76 and 2,556.64 is: 3,528.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.88 : 4,138.76 = 2,556.64 : x
  2. Step 2: Convert to fraction form
    2,998.88/4,138.76 = 2,556.64/x
  3. Step 3: Cross multiply
    2,998.88x = 4,138.76 × 2,556.64
  4. Step 4: Simplify right side
    2,998.88x = 10,581,319.37
  5. Step 5: Solve for x
    x = 10,581,319.37/2,998.88
  6. Step 6: Final answer
    x = 3,528.42

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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.