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Finding the Fourth Proportional to 4,104.31, 5,664.02 and 2,241.31

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Solution

The fourth proportional to 4,104.31, 5,664.02 and 2,241.31 is: 3,093.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,104.31 : 5,664.02 = 2,241.31 : x
  2. Step 2: Convert to fraction form
    4,104.31/5,664.02 = 2,241.31/x
  3. Step 3: Cross multiply
    4,104.31x = 5,664.02 × 2,241.31
  4. Step 4: Simplify right side
    4,104.31x = 12,694,813.46
  5. Step 5: Solve for x
    x = 12,694,813.46/4,104.31
  6. Step 6: Final answer
    x = 3,093.04

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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.