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Finding the Fourth Proportional to 3,835.56, 5,725.33 and 3,291.24

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Solution

The fourth proportional to 3,835.56, 5,725.33 and 3,291.24 is: 4,912.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.56 : 5,725.33 = 3,291.24 : x
  2. Step 2: Convert to fraction form
    3,835.56/5,725.33 = 3,291.24/x
  3. Step 3: Cross multiply
    3,835.56x = 5,725.33 × 3,291.24
  4. Step 4: Simplify right side
    3,835.56x = 18,843,414.71
  5. Step 5: Solve for x
    x = 18,843,414.71/3,835.56
  6. Step 6: Final answer
    x = 4,912.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.