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Finding the Fourth Proportional to 3,826.48, 5,280.49 and 2,147.88

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Solution

The fourth proportional to 3,826.48, 5,280.49 and 2,147.88 is: 2,964.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.48 : 5,280.49 = 2,147.88 : x
  2. Step 2: Convert to fraction form
    3,826.48/5,280.49 = 2,147.88/x
  3. Step 3: Cross multiply
    3,826.48x = 5,280.49 × 2,147.88
  4. Step 4: Simplify right side
    3,826.48x = 11,341,858.86
  5. Step 5: Solve for x
    x = 11,341,858.86/3,826.48
  6. Step 6: Final answer
    x = 2,964.04

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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.