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Finding the Fourth Proportional to 3,826.54, 5,770.42 and 3,774.52

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Solution

The fourth proportional to 3,826.54, 5,770.42 and 3,774.52 is: 5,691.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.54 : 5,770.42 = 3,774.52 : x
  2. Step 2: Convert to fraction form
    3,826.54/5,770.42 = 3,774.52/x
  3. Step 3: Cross multiply
    3,826.54x = 5,770.42 × 3,774.52
  4. Step 4: Simplify right side
    3,826.54x = 21,780,565.70
  5. Step 5: Solve for x
    x = 21,780,565.70/3,826.54
  6. Step 6: Final answer
    x = 5,691.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.