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Finding the Fourth Proportional to 5,731.75, 7,908.60 and 3,843.64

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Solution

The fourth proportional to 5,731.75, 7,908.60 and 3,843.64 is: 5,303.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.75 : 7,908.60 = 3,843.64 : x
  2. Step 2: Convert to fraction form
    5,731.75/7,908.60 = 3,843.64/x
  3. Step 3: Cross multiply
    5,731.75x = 7,908.60 × 3,843.64
  4. Step 4: Simplify right side
    5,731.75x = 30,397,811.30
  5. Step 5: Solve for x
    x = 30,397,811.30/5,731.75
  6. Step 6: Final answer
    x = 5,303.41

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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.