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Finding the Fourth Proportional to 5,794, 7,995.64 and 3,141.38

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Solution

The fourth proportional to 5,794, 7,995.64 and 3,141.38 is: 4,335.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794 : 7,995.64 = 3,141.38 : x
  2. Step 2: Convert to fraction form
    5,794/7,995.64 = 3,141.38/x
  3. Step 3: Cross multiply
    5,794x = 7,995.64 × 3,141.38
  4. Step 4: Simplify right side
    5,794x = 25,117,343.58
  5. Step 5: Solve for x
    x = 25,117,343.58/5,794
  6. Step 6: Final answer
    x = 4,335.06

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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.