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Finding the Fourth Proportional to 3,826.40, 5,280.40 and 2,147.80

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Solution

The fourth proportional to 3,826.40, 5,280.40 and 2,147.80 is: 2,963.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.40 : 5,280.40 = 2,147.80 : x
  2. Step 2: Convert to fraction form
    3,826.40/5,280.40 = 2,147.80/x
  3. Step 3: Cross multiply
    3,826.40x = 5,280.40 × 2,147.80
  4. Step 4: Simplify right side
    3,826.40x = 11,341,243.12
  5. Step 5: Solve for x
    x = 11,341,243.12/3,826.40
  6. Step 6: Final answer
    x = 2,963.95

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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.