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Finding the Fourth Proportional to 4,576.37, 6,313.06 and 2,894.95

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Solution

The fourth proportional to 4,576.37, 6,313.06 and 2,894.95 is: 3,993.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.37 : 6,313.06 = 2,894.95 : x
  2. Step 2: Convert to fraction form
    4,576.37/6,313.06 = 2,894.95/x
  3. Step 3: Cross multiply
    4,576.37x = 6,313.06 × 2,894.95
  4. Step 4: Simplify right side
    4,576.37x = 18,275,993.05
  5. Step 5: Solve for x
    x = 18,275,993.05/4,576.37
  6. Step 6: Final answer
    x = 3,993.56

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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.