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Finding the Fourth Proportional to 3,840.75, 5,767.61 and 3,497.31

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Solution

The fourth proportional to 3,840.75, 5,767.61 and 3,497.31 is: 5,251.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.75 : 5,767.61 = 3,497.31 : x
  2. Step 2: Convert to fraction form
    3,840.75/5,767.61 = 3,497.31/x
  3. Step 3: Cross multiply
    3,840.75x = 5,767.61 × 3,497.31
  4. Step 4: Simplify right side
    3,840.75x = 20,171,102.64
  5. Step 5: Solve for x
    x = 20,171,102.64/3,840.75
  6. Step 6: Final answer
    x = 5,251.87

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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.