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Finding the Fourth Proportional to 4,969.72, 6,846.36 and 3,474.84

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Solution

The fourth proportional to 4,969.72, 6,846.36 and 3,474.84 is: 4,786.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.72 : 6,846.36 = 3,474.84 : x
  2. Step 2: Convert to fraction form
    4,969.72/6,846.36 = 3,474.84/x
  3. Step 3: Cross multiply
    4,969.72x = 6,846.36 × 3,474.84
  4. Step 4: Simplify right side
    4,969.72x = 23,790,005.58
  5. Step 5: Solve for x
    x = 23,790,005.58/4,969.72
  6. Step 6: Final answer
    x = 4,786.99

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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.