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Finding the Fourth Proportional to 4,104.50, 5,664.21 and 2,241.50

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Solution

The fourth proportional to 4,104.50, 5,664.21 and 2,241.50 is: 3,093.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,104.50 : 5,664.21 = 2,241.50 : x
  2. Step 2: Convert to fraction form
    4,104.50/5,664.21 = 2,241.50/x
  3. Step 3: Cross multiply
    4,104.50x = 5,664.21 × 2,241.50
  4. Step 4: Simplify right side
    4,104.50x = 12,696,326.72
  5. Step 5: Solve for x
    x = 12,696,326.72/4,104.50
  6. Step 6: Final answer
    x = 3,093.27

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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.