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Finding the Fourth Proportional to 4,912.95, 6,780.74 and 3,144.49

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Solution

The fourth proportional to 4,912.95, 6,780.74 and 3,144.49 is: 4,339.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912.95 : 6,780.74 = 3,144.49 : x
  2. Step 2: Convert to fraction form
    4,912.95/6,780.74 = 3,144.49/x
  3. Step 3: Cross multiply
    4,912.95x = 6,780.74 × 3,144.49
  4. Step 4: Simplify right side
    4,912.95x = 21,321,969.12
  5. Step 5: Solve for x
    x = 21,321,969.12/4,912.95
  6. Step 6: Final answer
    x = 4,339.95

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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.