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Finding the Fourth Proportional to 6,205.17, 8,563.29 and 3,410.67

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Solution

The fourth proportional to 6,205.17, 8,563.29 and 3,410.67 is: 4,706.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.17 : 8,563.29 = 3,410.67 : x
  2. Step 2: Convert to fraction form
    6,205.17/8,563.29 = 3,410.67/x
  3. Step 3: Cross multiply
    6,205.17x = 8,563.29 × 3,410.67
  4. Step 4: Simplify right side
    6,205.17x = 29,206,556.30
  5. Step 5: Solve for x
    x = 29,206,556.30/6,205.17
  6. Step 6: Final answer
    x = 4,706.81

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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.