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Finding the Fourth Proportional to 4,846.44, 6,686.36 and 3,168.82

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Solution

The fourth proportional to 4,846.44, 6,686.36 and 3,168.82 is: 4,371.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846.44 : 6,686.36 = 3,168.82 : x
  2. Step 2: Convert to fraction form
    4,846.44/6,686.36 = 3,168.82/x
  3. Step 3: Cross multiply
    4,846.44x = 6,686.36 × 3,168.82
  4. Step 4: Simplify right side
    4,846.44x = 21,187,871.30
  5. Step 5: Solve for x
    x = 21,187,871.30/4,846.44
  6. Step 6: Final answer
    x = 4,371.84

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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.