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Finding the Fourth Proportional to 5,812.08, 8,021.82 and 3,453.76

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Solution

The fourth proportional to 5,812.08, 8,021.82 and 3,453.76 is: 4,766.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.08 : 8,021.82 = 3,453.76 : x
  2. Step 2: Convert to fraction form
    5,812.08/8,021.82 = 3,453.76/x
  3. Step 3: Cross multiply
    5,812.08x = 8,021.82 × 3,453.76
  4. Step 4: Simplify right side
    5,812.08x = 27,705,441.04
  5. Step 5: Solve for x
    x = 27,705,441.04/5,812.08
  6. Step 6: Final answer
    x = 4,766.88

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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.