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Finding the Fourth Proportional to 3,858.96, 5,323.60 and 2,286.16

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Solution

The fourth proportional to 3,858.96, 5,323.60 and 2,286.16 is: 3,153.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.96 : 5,323.60 = 2,286.16 : x
  2. Step 2: Convert to fraction form
    3,858.96/5,323.60 = 2,286.16/x
  3. Step 3: Cross multiply
    3,858.96x = 5,323.60 × 2,286.16
  4. Step 4: Simplify right side
    3,858.96x = 12,170,601.38
  5. Step 5: Solve for x
    x = 12,170,601.38/3,858.96
  6. Step 6: Final answer
    x = 3,153.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.