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Finding the Fourth Proportional to 4,906.22, 6,773.09 and 3,784.64

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Solution

The fourth proportional to 4,906.22, 6,773.09 and 3,784.64 is: 5,224.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.22 : 6,773.09 = 3,784.64 : x
  2. Step 2: Convert to fraction form
    4,906.22/6,773.09 = 3,784.64/x
  3. Step 3: Cross multiply
    4,906.22x = 6,773.09 × 3,784.64
  4. Step 4: Simplify right side
    4,906.22x = 25,633,707.34
  5. Step 5: Solve for x
    x = 25,633,707.34/4,906.22
  6. Step 6: Final answer
    x = 5,224.74

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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.