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Finding the Fourth Proportional to 4,978, 6,869.19 and 2,739.97

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Solution

The fourth proportional to 4,978, 6,869.19 and 2,739.97 is: 3,780.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978 : 6,869.19 = 2,739.97 : x
  2. Step 2: Convert to fraction form
    4,978/6,869.19 = 2,739.97/x
  3. Step 3: Cross multiply
    4,978x = 6,869.19 × 2,739.97
  4. Step 4: Simplify right side
    4,978x = 18,821,374.52
  5. Step 5: Solve for x
    x = 18,821,374.52/4,978
  6. Step 6: Final answer
    x = 3,780.91

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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.