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Finding the Fourth Proportional to 3,866.54, 5,372.84 and 3,826.40

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Solution

The fourth proportional to 3,866.54, 5,372.84 and 3,826.40 is: 5,317.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.54 : 5,372.84 = 3,826.40 : x
  2. Step 2: Convert to fraction form
    3,866.54/5,372.84 = 3,826.40/x
  3. Step 3: Cross multiply
    3,866.54x = 5,372.84 × 3,826.40
  4. Step 4: Simplify right side
    3,866.54x = 20,558,634.98
  5. Step 5: Solve for x
    x = 20,558,634.98/3,866.54
  6. Step 6: Final answer
    x = 5,317.06

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.