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Finding the Fourth Proportional to 3,876.37, 5,811.01 and 1,684.31

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Solution

The fourth proportional to 3,876.37, 5,811.01 and 1,684.31 is: 2,524.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.37 : 5,811.01 = 1,684.31 : x
  2. Step 2: Convert to fraction form
    3,876.37/5,811.01 = 1,684.31/x
  3. Step 3: Cross multiply
    3,876.37x = 5,811.01 × 1,684.31
  4. Step 4: Simplify right side
    3,876.37x = 9,787,504.78
  5. Step 5: Solve for x
    x = 9,787,504.78/3,876.37
  6. Step 6: Final answer
    x = 2,524.92

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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.