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Finding the Fourth Proportional to 6,171.55, 8,513.27 and 3,782.68

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Solution

The fourth proportional to 6,171.55, 8,513.27 and 3,782.68 is: 5,217.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.55 : 8,513.27 = 3,782.68 : x
  2. Step 2: Convert to fraction form
    6,171.55/8,513.27 = 3,782.68/x
  3. Step 3: Cross multiply
    6,171.55x = 8,513.27 × 3,782.68
  4. Step 4: Simplify right side
    6,171.55x = 32,202,964.34
  5. Step 5: Solve for x
    x = 32,202,964.34/6,171.55
  6. Step 6: Final answer
    x = 5,217.97

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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.