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Finding the Fourth Proportional to 3,876.27, 5,811.14 and 1,683.36

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Solution

The fourth proportional to 3,876.27, 5,811.14 and 1,683.36 is: 2,523.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.27 : 5,811.14 = 1,683.36 : x
  2. Step 2: Convert to fraction form
    3,876.27/5,811.14 = 1,683.36/x
  3. Step 3: Cross multiply
    3,876.27x = 5,811.14 × 1,683.36
  4. Step 4: Simplify right side
    3,876.27x = 9,782,232.21
  5. Step 5: Solve for x
    x = 9,782,232.21/3,876.27
  6. Step 6: Final answer
    x = 2,523.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.