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Finding the Fourth Proportional to 3,822.25, 5,283.53 and 3,189.09

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Solution

The fourth proportional to 3,822.25, 5,283.53 and 3,189.09 is: 4,408.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.25 : 5,283.53 = 3,189.09 : x
  2. Step 2: Convert to fraction form
    3,822.25/5,283.53 = 3,189.09/x
  3. Step 3: Cross multiply
    3,822.25x = 5,283.53 × 3,189.09
  4. Step 4: Simplify right side
    3,822.25x = 16,849,652.69
  5. Step 5: Solve for x
    x = 16,849,652.69/3,822.25
  6. Step 6: Final answer
    x = 4,408.31

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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.