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Finding the Fourth Proportional to 6,208.59, 8,567.69 and 3,414.09

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Solution

The fourth proportional to 6,208.59, 8,567.69 and 3,414.09 is: 4,711.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.59 : 8,567.69 = 3,414.09 : x
  2. Step 2: Convert to fraction form
    6,208.59/8,567.69 = 3,414.09/x
  3. Step 3: Cross multiply
    6,208.59x = 8,567.69 × 3,414.09
  4. Step 4: Simplify right side
    6,208.59x = 29,250,847.68
  5. Step 5: Solve for x
    x = 29,250,847.68/6,208.59
  6. Step 6: Final answer
    x = 4,711.35

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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.