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Finding the Fourth Proportional to 4,725.44, 6,517.92 and 3,069.44

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Solution

The fourth proportional to 4,725.44, 6,517.92 and 3,069.44 is: 4,233.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725.44 : 6,517.92 = 3,069.44 : x
  2. Step 2: Convert to fraction form
    4,725.44/6,517.92 = 3,069.44/x
  3. Step 3: Cross multiply
    4,725.44x = 6,517.92 × 3,069.44
  4. Step 4: Simplify right side
    4,725.44x = 20,006,364.36
  5. Step 5: Solve for x
    x = 20,006,364.36/4,725.44
  6. Step 6: Final answer
    x = 4,233.76

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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.