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Finding the Fourth Proportional to 3,826.54, 5,281.47 and 2,255.55

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Solution

The fourth proportional to 3,826.54, 5,281.47 and 2,255.55 is: 3,113.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.54 : 5,281.47 = 2,255.55 : x
  2. Step 2: Convert to fraction form
    3,826.54/5,281.47 = 2,255.55/x
  3. Step 3: Cross multiply
    3,826.54x = 5,281.47 × 2,255.55
  4. Step 4: Simplify right side
    3,826.54x = 11,912,599.85
  5. Step 5: Solve for x
    x = 11,912,599.85/3,826.54
  6. Step 6: Final answer
    x = 3,113.15

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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.