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Finding the Fourth Proportional to 3,807.82, 5,234.63 and 3,274.75

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Solution

The fourth proportional to 3,807.82, 5,234.63 and 3,274.75 is: 4,501.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.82 : 5,234.63 = 3,274.75 : x
  2. Step 2: Convert to fraction form
    3,807.82/5,234.63 = 3,274.75/x
  3. Step 3: Cross multiply
    3,807.82x = 5,234.63 × 3,274.75
  4. Step 4: Simplify right side
    3,807.82x = 17,142,104.59
  5. Step 5: Solve for x
    x = 17,142,104.59/3,807.82
  6. Step 6: Final answer
    x = 4,501.82

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.