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Finding the Fourth Proportional to 3,876.60, 5,814.26 and 1,796.52

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Solution

The fourth proportional to 3,876.60, 5,814.26 and 1,796.52 is: 2,694.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.60 : 5,814.26 = 1,796.52 : x
  2. Step 2: Convert to fraction form
    3,876.60/5,814.26 = 1,796.52/x
  3. Step 3: Cross multiply
    3,876.60x = 5,814.26 × 1,796.52
  4. Step 4: Simplify right side
    3,876.60x = 10,445,434.38
  5. Step 5: Solve for x
    x = 10,445,434.38/3,876.60
  6. Step 6: Final answer
    x = 2,694.48

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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.