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Finding the Fourth Proportional to 4,806, 7,202.88 and 2,724.48

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Solution

The fourth proportional to 4,806, 7,202.88 and 2,724.48 is: 4,083.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806 : 7,202.88 = 2,724.48 : x
  2. Step 2: Convert to fraction form
    4,806/7,202.88 = 2,724.48/x
  3. Step 3: Cross multiply
    4,806x = 7,202.88 × 2,724.48
  4. Step 4: Simplify right side
    4,806x = 19,624,102.50
  5. Step 5: Solve for x
    x = 19,624,102.50/4,806
  6. Step 6: Final answer
    x = 4,083.25

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Why These Related Problems?

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