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Finding the Fourth Proportional to 4,321.67, 6,481.53 and 1,689.24

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Solution

The fourth proportional to 4,321.67, 6,481.53 and 1,689.24 is: 2,533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.67 : 6,481.53 = 1,689.24 : x
  2. Step 2: Convert to fraction form
    4,321.67/6,481.53 = 1,689.24/x
  3. Step 3: Cross multiply
    4,321.67x = 6,481.53 × 1,689.24
  4. Step 4: Simplify right side
    4,321.67x = 10,948,859.74
  5. Step 5: Solve for x
    x = 10,948,859.74/4,321.67
  6. Step 6: Final answer
    x = 2,533.48

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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.