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Finding the Fourth Proportional to 5,422.44, 8,133.68 and 1,318.44

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Solution

The fourth proportional to 5,422.44, 8,133.68 and 1,318.44 is: 1,977.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.44 : 8,133.68 = 1,318.44 : x
  2. Step 2: Convert to fraction form
    5,422.44/8,133.68 = 1,318.44/x
  3. Step 3: Cross multiply
    5,422.44x = 8,133.68 × 1,318.44
  4. Step 4: Simplify right side
    5,422.44x = 10,723,769.06
  5. Step 5: Solve for x
    x = 10,723,769.06/5,422.44
  6. Step 6: Final answer
    x = 1,977.66

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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.