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Finding the Fourth Proportional to 3,840.37, 5,754.26 and 3,696.46

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Solution

The fourth proportional to 3,840.37, 5,754.26 and 3,696.46 is: 5,538.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.37 : 5,754.26 = 3,696.46 : x
  2. Step 2: Convert to fraction form
    3,840.37/5,754.26 = 3,696.46/x
  3. Step 3: Cross multiply
    3,840.37x = 5,754.26 × 3,696.46
  4. Step 4: Simplify right side
    3,840.37x = 21,270,373.44
  5. Step 5: Solve for x
    x = 21,270,373.44/3,840.37
  6. Step 6: Final answer
    x = 5,538.63

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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.