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Finding the Fourth Proportional to 3,796.07, 5,236.95 and 2,378.78

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Solution

The fourth proportional to 3,796.07, 5,236.95 and 2,378.78 is: 3,281.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.07 : 5,236.95 = 2,378.78 : x
  2. Step 2: Convert to fraction form
    3,796.07/5,236.95 = 2,378.78/x
  3. Step 3: Cross multiply
    3,796.07x = 5,236.95 × 2,378.78
  4. Step 4: Simplify right side
    3,796.07x = 12,457,583.75
  5. Step 5: Solve for x
    x = 12,457,583.75/3,796.07
  6. Step 6: Final answer
    x = 3,281.71

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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.