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Finding the Fourth Proportional to 6,205.20, 8,563.08 and 3,410.64

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Solution

The fourth proportional to 6,205.20, 8,563.08 and 3,410.64 is: 4,706.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.20 : 8,563.08 = 3,410.64 : x
  2. Step 2: Convert to fraction form
    6,205.20/8,563.08 = 3,410.64/x
  3. Step 3: Cross multiply
    6,205.20x = 8,563.08 × 3,410.64
  4. Step 4: Simplify right side
    6,205.20x = 29,205,583.17
  5. Step 5: Solve for x
    x = 29,205,583.17/6,205.20
  6. Step 6: Final answer
    x = 4,706.63

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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.