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Finding the Fourth Proportional to 3,873.14, 5,349.75 and 3,814.82

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Solution

The fourth proportional to 3,873.14, 5,349.75 and 3,814.82 is: 5,269.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.14 : 5,349.75 = 3,814.82 : x
  2. Step 2: Convert to fraction form
    3,873.14/5,349.75 = 3,814.82/x
  3. Step 3: Cross multiply
    3,873.14x = 5,349.75 × 3,814.82
  4. Step 4: Simplify right side
    3,873.14x = 20,408,333.30
  5. Step 5: Solve for x
    x = 20,408,333.30/3,873.14
  6. Step 6: Final answer
    x = 5,269.20

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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.