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Finding the Fourth Proportional to 6,454.92, 8,906.76 and 3,622.44

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Solution

The fourth proportional to 6,454.92, 8,906.76 and 3,622.44 is: 4,998.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.92 : 8,906.76 = 3,622.44 : x
  2. Step 2: Convert to fraction form
    6,454.92/8,906.76 = 3,622.44/x
  3. Step 3: Cross multiply
    6,454.92x = 8,906.76 × 3,622.44
  4. Step 4: Simplify right side
    6,454.92x = 32,264,203.69
  5. Step 5: Solve for x
    x = 32,264,203.69/6,454.92
  6. Step 6: Final answer
    x = 4,998.39

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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.