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Finding the Fourth Proportional to 3,826.55, 5,280.87 and 2,147.87

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Solution

The fourth proportional to 3,826.55, 5,280.87 and 2,147.87 is: 2,964.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.55 : 5,280.87 = 2,147.87 : x
  2. Step 2: Convert to fraction form
    3,826.55/5,280.87 = 2,147.87/x
  3. Step 3: Cross multiply
    3,826.55x = 5,280.87 × 2,147.87
  4. Step 4: Simplify right side
    3,826.55x = 11,342,622.25
  5. Step 5: Solve for x
    x = 11,342,622.25/3,826.55
  6. Step 6: Final answer
    x = 2,964.19

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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.