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Finding the Fourth Proportional to 5,622.16, 8,439 and 3,980.56

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Solution

The fourth proportional to 5,622.16, 8,439 and 3,980.56 is: 5,974.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,622.16 : 8,439 = 3,980.56 : x
  2. Step 2: Convert to fraction form
    5,622.16/8,439 = 3,980.56/x
  3. Step 3: Cross multiply
    5,622.16x = 8,439 × 3,980.56
  4. Step 4: Simplify right side
    5,622.16x = 33,591,945.84
  5. Step 5: Solve for x
    x = 33,591,945.84/5,622.16
  6. Step 6: Final answer
    x = 5,974.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.