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Finding the Fourth Proportional to 6,205.04, 8,562.96 and 3,410.54

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Solution

The fourth proportional to 6,205.04, 8,562.96 and 3,410.54 is: 4,706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.04 : 8,562.96 = 3,410.54 : x
  2. Step 2: Convert to fraction form
    6,205.04/8,562.96 = 3,410.54/x
  3. Step 3: Cross multiply
    6,205.04x = 8,562.96 × 3,410.54
  4. Step 4: Simplify right side
    6,205.04x = 29,204,340.62
  5. Step 5: Solve for x
    x = 29,204,340.62/6,205.04
  6. Step 6: Final answer
    x = 4,706.55

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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.