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Finding the Fourth Proportional to 3,669.44, 5,504.09 and 896.04

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Solution

The fourth proportional to 3,669.44, 5,504.09 and 896.04 is: 1,344.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.44 : 5,504.09 = 896.04 : x
  2. Step 2: Convert to fraction form
    3,669.44/5,504.09 = 896.04/x
  3. Step 3: Cross multiply
    3,669.44x = 5,504.09 × 896.04
  4. Step 4: Simplify right side
    3,669.44x = 4,931,887.04
  5. Step 5: Solve for x
    x = 4,931,887.04/3,669.44
  6. Step 6: Final answer
    x = 1,344.04

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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.