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Finding the Fourth Proportional to 3,669.21, 5,504.13 and 1,072.17

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Solution

The fourth proportional to 3,669.21, 5,504.13 and 1,072.17 is: 1,608.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.21 : 5,504.13 = 1,072.17 : x
  2. Step 2: Convert to fraction form
    3,669.21/5,504.13 = 1,072.17/x
  3. Step 3: Cross multiply
    3,669.21x = 5,504.13 × 1,072.17
  4. Step 4: Simplify right side
    3,669.21x = 5,901,363.06
  5. Step 5: Solve for x
    x = 5,901,363.06/3,669.21
  6. Step 6: Final answer
    x = 1,608.35

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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.