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Finding the Fourth Proportional to 6,171.64, 8,516.88 and 3,519.09

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Solution

The fourth proportional to 6,171.64, 8,516.88 and 3,519.09 is: 4,856.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.64 : 8,516.88 = 3,519.09 : x
  2. Step 2: Convert to fraction form
    6,171.64/8,516.88 = 3,519.09/x
  3. Step 3: Cross multiply
    6,171.64x = 8,516.88 × 3,519.09
  4. Step 4: Simplify right side
    6,171.64x = 29,971,667.24
  5. Step 5: Solve for x
    x = 29,971,667.24/6,171.64
  6. Step 6: Final answer
    x = 4,856.36

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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.