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Finding the Fourth Proportional to 6,454.75, 8,906.68 and 3,583.44

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Solution

The fourth proportional to 6,454.75, 8,906.68 and 3,583.44 is: 4,944.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.75 : 8,906.68 = 3,583.44 : x
  2. Step 2: Convert to fraction form
    6,454.75/8,906.68 = 3,583.44/x
  3. Step 3: Cross multiply
    6,454.75x = 8,906.68 × 3,583.44
  4. Step 4: Simplify right side
    6,454.75x = 31,916,553.38
  5. Step 5: Solve for x
    x = 31,916,553.38/6,454.75
  6. Step 6: Final answer
    x = 4,944.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.