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Finding the Fourth Proportional to 4,563.94, 6,846.94 and 1,642.26

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Solution

The fourth proportional to 4,563.94, 6,846.94 and 1,642.26 is: 2,463.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.94 : 6,846.94 = 1,642.26 : x
  2. Step 2: Convert to fraction form
    4,563.94/6,846.94 = 1,642.26/x
  3. Step 3: Cross multiply
    4,563.94x = 6,846.94 × 1,642.26
  4. Step 4: Simplify right side
    4,563.94x = 11,244,455.68
  5. Step 5: Solve for x
    x = 11,244,455.68/4,563.94
  6. Step 6: Final answer
    x = 2,463.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.