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Finding the Fourth Proportional to 3,796.70, 5,231.67 and 2,800.40

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Solution

The fourth proportional to 3,796.70, 5,231.67 and 2,800.40 is: 3,858.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.70 : 5,231.67 = 2,800.40 : x
  2. Step 2: Convert to fraction form
    3,796.70/5,231.67 = 2,800.40/x
  3. Step 3: Cross multiply
    3,796.70x = 5,231.67 × 2,800.40
  4. Step 4: Simplify right side
    3,796.70x = 14,650,768.67
  5. Step 5: Solve for x
    x = 14,650,768.67/3,796.70
  6. Step 6: Final answer
    x = 3,858.82

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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.