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Finding the Fourth Proportional to 3,696.64, 5,513.67 and 3,205.78

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Solution

The fourth proportional to 3,696.64, 5,513.67 and 3,205.78 is: 4,781.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.64 : 5,513.67 = 3,205.78 : x
  2. Step 2: Convert to fraction form
    3,696.64/5,513.67 = 3,205.78/x
  3. Step 3: Cross multiply
    3,696.64x = 5,513.67 × 3,205.78
  4. Step 4: Simplify right side
    3,696.64x = 17,675,599.23
  5. Step 5: Solve for x
    x = 17,675,599.23/3,696.64
  6. Step 6: Final answer
    x = 4,781.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.