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Finding the Fourth Proportional to 7,122.22, 9,827.78 and 3,979

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Solution

The fourth proportional to 7,122.22, 9,827.78 and 3,979 is: 5,490.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.22 : 9,827.78 = 3,979 : x
  2. Step 2: Convert to fraction form
    7,122.22/9,827.78 = 3,979/x
  3. Step 3: Cross multiply
    7,122.22x = 9,827.78 × 3,979
  4. Step 4: Simplify right side
    7,122.22x = 39,104,736.62
  5. Step 5: Solve for x
    x = 39,104,736.62/7,122.22
  6. Step 6: Final answer
    x = 5,490.53

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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.