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Finding the Fourth Proportional to 4,968.73, 6,858.98 and 2,978.97

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Solution

The fourth proportional to 4,968.73, 6,858.98 and 2,978.97 is: 4,112.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.73 : 6,858.98 = 2,978.97 : x
  2. Step 2: Convert to fraction form
    4,968.73/6,858.98 = 2,978.97/x
  3. Step 3: Cross multiply
    4,968.73x = 6,858.98 × 2,978.97
  4. Step 4: Simplify right side
    4,968.73x = 20,432,695.65
  5. Step 5: Solve for x
    x = 20,432,695.65/4,968.73
  6. Step 6: Final answer
    x = 4,112.26

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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.