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Finding the Fourth Proportional to 4,057.92, 6,083.01 and 1,282.68

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Solution

The fourth proportional to 4,057.92, 6,083.01 and 1,282.68 is: 1,922.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.92 : 6,083.01 = 1,282.68 : x
  2. Step 2: Convert to fraction form
    4,057.92/6,083.01 = 1,282.68/x
  3. Step 3: Cross multiply
    4,057.92x = 6,083.01 × 1,282.68
  4. Step 4: Simplify right side
    4,057.92x = 7,802,555.27
  5. Step 5: Solve for x
    x = 7,802,555.27/4,057.92
  6. Step 6: Final answer
    x = 1,922.80

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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.