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Finding the Fourth Proportional to 6,205.44, 8,563.20 and 3,552.64

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Solution

The fourth proportional to 6,205.44, 8,563.20 and 3,552.64 is: 4,902.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.44 : 8,563.20 = 3,552.64 : x
  2. Step 2: Convert to fraction form
    6,205.44/8,563.20 = 3,552.64/x
  3. Step 3: Cross multiply
    6,205.44x = 8,563.20 × 3,552.64
  4. Step 4: Simplify right side
    6,205.44x = 30,421,966.85
  5. Step 5: Solve for x
    x = 30,421,966.85/6,205.44
  6. Step 6: Final answer
    x = 4,902.47

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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.