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Finding the Fourth Proportional to 6,205.42, 8,563.53 and 3,552.67

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Solution

The fourth proportional to 6,205.42, 8,563.53 and 3,552.67 is: 4,902.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.42 : 8,563.53 = 3,552.67 : x
  2. Step 2: Convert to fraction form
    6,205.42/8,563.53 = 3,552.67/x
  3. Step 3: Cross multiply
    6,205.42x = 8,563.53 × 3,552.67
  4. Step 4: Simplify right side
    6,205.42x = 30,423,396.13
  5. Step 5: Solve for x
    x = 30,423,396.13/6,205.42
  6. Step 6: Final answer
    x = 4,902.71

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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.