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Finding the Fourth Proportional to 3,822.94, 5,732.13 and 1,323.31

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Solution

The fourth proportional to 3,822.94, 5,732.13 and 1,323.31 is: 1,984.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.94 : 5,732.13 = 1,323.31 : x
  2. Step 2: Convert to fraction form
    3,822.94/5,732.13 = 1,323.31/x
  3. Step 3: Cross multiply
    3,822.94x = 5,732.13 × 1,323.31
  4. Step 4: Simplify right side
    3,822.94x = 7,585,370.62
  5. Step 5: Solve for x
    x = 7,585,370.62/3,822.94
  6. Step 6: Final answer
    x = 1,984.17

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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.