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Finding the Fourth Proportional to 3,830.64, 5,286.27 and 2,238.38

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Solution

The fourth proportional to 3,830.64, 5,286.27 and 2,238.38 is: 3,088.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.64 : 5,286.27 = 2,238.38 : x
  2. Step 2: Convert to fraction form
    3,830.64/5,286.27 = 2,238.38/x
  3. Step 3: Cross multiply
    3,830.64x = 5,286.27 × 2,238.38
  4. Step 4: Simplify right side
    3,830.64x = 11,832,702.65
  5. Step 5: Solve for x
    x = 11,832,702.65/3,830.64
  6. Step 6: Final answer
    x = 3,088.96

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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.