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Finding the Fourth Proportional to 4,976.34, 6,867.31 and 2,738.31

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Solution

The fourth proportional to 4,976.34, 6,867.31 and 2,738.31 is: 3,778.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.34 : 6,867.31 = 2,738.31 : x
  2. Step 2: Convert to fraction form
    4,976.34/6,867.31 = 2,738.31/x
  3. Step 3: Cross multiply
    4,976.34x = 6,867.31 × 2,738.31
  4. Step 4: Simplify right side
    4,976.34x = 18,804,809.95
  5. Step 5: Solve for x
    x = 18,804,809.95/4,976.34
  6. Step 6: Final answer
    x = 3,778.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.