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Finding the Fourth Proportional to 3,826.52, 5,280.50 and 2,147.94

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Solution

The fourth proportional to 3,826.52, 5,280.50 and 2,147.94 is: 2,964.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.52 : 5,280.50 = 2,147.94 : x
  2. Step 2: Convert to fraction form
    3,826.52/5,280.50 = 2,147.94/x
  3. Step 3: Cross multiply
    3,826.52x = 5,280.50 × 2,147.94
  4. Step 4: Simplify right side
    3,826.52x = 11,342,197.17
  5. Step 5: Solve for x
    x = 11,342,197.17/3,826.52
  6. Step 6: Final answer
    x = 2,964.10

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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.