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Finding the Fourth Proportional to 4,639.82, 6,958.37 and 1,351.88

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Solution

The fourth proportional to 4,639.82, 6,958.37 and 1,351.88 is: 2,027.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,639.82 : 6,958.37 = 1,351.88 : x
  2. Step 2: Convert to fraction form
    4,639.82/6,958.37 = 1,351.88/x
  3. Step 3: Cross multiply
    4,639.82x = 6,958.37 × 1,351.88
  4. Step 4: Simplify right side
    4,639.82x = 9,406,891.87
  5. Step 5: Solve for x
    x = 9,406,891.87/4,639.82
  6. Step 6: Final answer
    x = 2,027.42

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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.