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Finding the Fourth Proportional to 5,949.26, 8,912.36 and 4,578.38

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Solution

The fourth proportional to 5,949.26, 8,912.36 and 4,578.38 is: 6,858.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.26 : 8,912.36 = 4,578.38 : x
  2. Step 2: Convert to fraction form
    5,949.26/8,912.36 = 4,578.38/x
  3. Step 3: Cross multiply
    5,949.26x = 8,912.36 × 4,578.38
  4. Step 4: Simplify right side
    5,949.26x = 40,804,170.78
  5. Step 5: Solve for x
    x = 40,804,170.78/5,949.26
  6. Step 6: Final answer
    x = 6,858.70

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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.