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Finding the Fourth Proportional to 4,199, 5,794.62 and 2,336.36

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Solution

The fourth proportional to 4,199, 5,794.62 and 2,336.36 is: 3,224.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199 : 5,794.62 = 2,336.36 : x
  2. Step 2: Convert to fraction form
    4,199/5,794.62 = 2,336.36/x
  3. Step 3: Cross multiply
    4,199x = 5,794.62 × 2,336.36
  4. Step 4: Simplify right side
    4,199x = 13,538,318.38
  5. Step 5: Solve for x
    x = 13,538,318.38/4,199
  6. Step 6: Final answer
    x = 3,224.18

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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.