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Finding the Fourth Proportional to 5,754.22, 7,940.26 and 3,235.75

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Solution

The fourth proportional to 5,754.22, 7,940.26 and 3,235.75 is: 4,465.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.22 : 7,940.26 = 3,235.75 : x
  2. Step 2: Convert to fraction form
    5,754.22/7,940.26 = 3,235.75/x
  3. Step 3: Cross multiply
    5,754.22x = 7,940.26 × 3,235.75
  4. Step 4: Simplify right side
    5,754.22x = 25,692,696.30
  5. Step 5: Solve for x
    x = 25,692,696.30/5,754.22
  6. Step 6: Final answer
    x = 4,465.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.