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Finding the Fourth Proportional to 5,624.25, 8,428.17 and 3,163.88

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Solution

The fourth proportional to 5,624.25, 8,428.17 and 3,163.88 is: 4,741.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.25 : 8,428.17 = 3,163.88 : x
  2. Step 2: Convert to fraction form
    5,624.25/8,428.17 = 3,163.88/x
  3. Step 3: Cross multiply
    5,624.25x = 8,428.17 × 3,163.88
  4. Step 4: Simplify right side
    5,624.25x = 26,665,676.36
  5. Step 5: Solve for x
    x = 26,665,676.36/5,624.25
  6. Step 6: Final answer
    x = 4,741.20

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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.