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Finding the Fourth Proportional to 3,382.12, 4,658.82 and 2,822.41

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Solution

The fourth proportional to 3,382.12, 4,658.82 and 2,822.41 is: 3,887.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.12 : 4,658.82 = 2,822.41 : x
  2. Step 2: Convert to fraction form
    3,382.12/4,658.82 = 2,822.41/x
  3. Step 3: Cross multiply
    3,382.12x = 4,658.82 × 2,822.41
  4. Step 4: Simplify right side
    3,382.12x = 13,149,100.16
  5. Step 5: Solve for x
    x = 13,149,100.16/3,382.12
  6. Step 6: Final answer
    x = 3,887.83

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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.