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Finding the Fourth Proportional to 4,196.62, 5,791.47 and 2,308.38

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Solution

The fourth proportional to 4,196.62, 5,791.47 and 2,308.38 is: 3,185.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.62 : 5,791.47 = 2,308.38 : x
  2. Step 2: Convert to fraction form
    4,196.62/5,791.47 = 2,308.38/x
  3. Step 3: Cross multiply
    4,196.62x = 5,791.47 × 2,308.38
  4. Step 4: Simplify right side
    4,196.62x = 13,368,913.52
  5. Step 5: Solve for x
    x = 13,368,913.52/4,196.62
  6. Step 6: Final answer
    x = 3,185.64

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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.