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Finding the Fourth Proportional to 4,509.82, 6,758.97 and 3,922.39

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Solution

The fourth proportional to 4,509.82, 6,758.97 and 3,922.39 is: 5,878.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.82 : 6,758.97 = 3,922.39 : x
  2. Step 2: Convert to fraction form
    4,509.82/6,758.97 = 3,922.39/x
  3. Step 3: Cross multiply
    4,509.82x = 6,758.97 × 3,922.39
  4. Step 4: Simplify right side
    4,509.82x = 26,511,316.34
  5. Step 5: Solve for x
    x = 26,511,316.34/4,509.82
  6. Step 6: Final answer
    x = 5,878.58

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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.