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Finding the Fourth Proportional to 6,086.30, 8,399.07 and 3,291.80

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Solution

The fourth proportional to 6,086.30, 8,399.07 and 3,291.80 is: 4,542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.30 : 8,399.07 = 3,291.80 : x
  2. Step 2: Convert to fraction form
    6,086.30/8,399.07 = 3,291.80/x
  3. Step 3: Cross multiply
    6,086.30x = 8,399.07 × 3,291.80
  4. Step 4: Simplify right side
    6,086.30x = 27,648,016.63
  5. Step 5: Solve for x
    x = 27,648,016.63/6,086.30
  6. Step 6: Final answer
    x = 4,542.67

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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.