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Finding the Fourth Proportional to 3,264.43, 4,894.82 and 1,072.57

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Solution

The fourth proportional to 3,264.43, 4,894.82 and 1,072.57 is: 1,608.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.43 : 4,894.82 = 1,072.57 : x
  2. Step 2: Convert to fraction form
    3,264.43/4,894.82 = 1,072.57/x
  3. Step 3: Cross multiply
    3,264.43x = 4,894.82 × 1,072.57
  4. Step 4: Simplify right side
    3,264.43x = 5,250,037.09
  5. Step 5: Solve for x
    x = 5,250,037.09/3,264.43
  6. Step 6: Final answer
    x = 1,608.26

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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.