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Finding the Fourth Proportional to 4,315.67, 6,481.32 and 3,968.37

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Solution

The fourth proportional to 4,315.67, 6,481.32 and 3,968.37 is: 5,959.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,315.67 : 6,481.32 = 3,968.37 : x
  2. Step 2: Convert to fraction form
    4,315.67/6,481.32 = 3,968.37/x
  3. Step 3: Cross multiply
    4,315.67x = 6,481.32 × 3,968.37
  4. Step 4: Simplify right side
    4,315.67x = 25,720,275.85
  5. Step 5: Solve for x
    x = 25,720,275.85/4,315.67
  6. Step 6: Final answer
    x = 5,959.74

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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.