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Finding the Fourth Proportional to 3,876.85, 5,814.39 and 1,103.46

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Solution

The fourth proportional to 3,876.85, 5,814.39 and 1,103.46 is: 1,654.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.85 : 5,814.39 = 1,103.46 : x
  2. Step 2: Convert to fraction form
    3,876.85/5,814.39 = 1,103.46/x
  3. Step 3: Cross multiply
    3,876.85x = 5,814.39 × 1,103.46
  4. Step 4: Simplify right side
    3,876.85x = 6,415,945.48
  5. Step 5: Solve for x
    x = 6,415,945.48/3,876.85
  6. Step 6: Final answer
    x = 1,654.94

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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.