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Finding the Fourth Proportional to 4,797.72, 7,197.12 and 2,200.32

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Solution

The fourth proportional to 4,797.72, 7,197.12 and 2,200.32 is: 3,300.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.72 : 7,197.12 = 2,200.32 : x
  2. Step 2: Convert to fraction form
    4,797.72/7,197.12 = 2,200.32/x
  3. Step 3: Cross multiply
    4,797.72x = 7,197.12 × 2,200.32
  4. Step 4: Simplify right side
    4,797.72x = 15,835,967.08
  5. Step 5: Solve for x
    x = 15,835,967.08/4,797.72
  6. Step 6: Final answer
    x = 3,300.73

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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.