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Finding the Fourth Proportional to 3,876.28, 5,352.27 and 2,978.60

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Solution

The fourth proportional to 3,876.28, 5,352.27 and 2,978.60 is: 4,112.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.28 : 5,352.27 = 2,978.60 : x
  2. Step 2: Convert to fraction form
    3,876.28/5,352.27 = 2,978.60/x
  3. Step 3: Cross multiply
    3,876.28x = 5,352.27 × 2,978.60
  4. Step 4: Simplify right side
    3,876.28x = 15,942,250.02
  5. Step 5: Solve for x
    x = 15,942,250.02/3,876.28
  6. Step 6: Final answer
    x = 4,112.77

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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.