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Finding the Fourth Proportional to 4,800, 7,200.72 and 1,722.72

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Solution

The fourth proportional to 4,800, 7,200.72 and 1,722.72 is: 2,584.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800 : 7,200.72 = 1,722.72 : x
  2. Step 2: Convert to fraction form
    4,800/7,200.72 = 1,722.72/x
  3. Step 3: Cross multiply
    4,800x = 7,200.72 × 1,722.72
  4. Step 4: Simplify right side
    4,800x = 12,404,824.36
  5. Step 5: Solve for x
    x = 12,404,824.36/4,800
  6. Step 6: Final answer
    x = 2,584.34

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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.