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Finding the Fourth Proportional to 4,699.23, 6,481.98 and 3,022.81

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Solution

The fourth proportional to 4,699.23, 6,481.98 and 3,022.81 is: 4,169.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.23 : 6,481.98 = 3,022.81 : x
  2. Step 2: Convert to fraction form
    4,699.23/6,481.98 = 3,022.81/x
  3. Step 3: Cross multiply
    4,699.23x = 6,481.98 × 3,022.81
  4. Step 4: Simplify right side
    4,699.23x = 19,593,793.96
  5. Step 5: Solve for x
    x = 19,593,793.96/4,699.23
  6. Step 6: Final answer
    x = 4,169.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.