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Finding the Fourth Proportional to 5,162.82, 7,749.69 and 3,216.39

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Solution

The fourth proportional to 5,162.82, 7,749.69 and 3,216.39 is: 4,827.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.82 : 7,749.69 = 3,216.39 : x
  2. Step 2: Convert to fraction form
    5,162.82/7,749.69 = 3,216.39/x
  3. Step 3: Cross multiply
    5,162.82x = 7,749.69 × 3,216.39
  4. Step 4: Simplify right side
    5,162.82x = 24,926,025.42
  5. Step 5: Solve for x
    x = 24,926,025.42/5,162.82
  6. Step 6: Final answer
    x = 4,827.99

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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.