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Finding the Fourth Proportional to 3,696.98, 5,544.25 and 1,197.59

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Solution

The fourth proportional to 3,696.98, 5,544.25 and 1,197.59 is: 1,795.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.98 : 5,544.25 = 1,197.59 : x
  2. Step 2: Convert to fraction form
    3,696.98/5,544.25 = 1,197.59/x
  3. Step 3: Cross multiply
    3,696.98x = 5,544.25 × 1,197.59
  4. Step 4: Simplify right side
    3,696.98x = 6,639,707.64
  5. Step 5: Solve for x
    x = 6,639,707.64/3,696.98
  6. Step 6: Final answer
    x = 1,795.98

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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.