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Finding the Fourth Proportional to 5,242.26, 7,234.24 and 2,852.26

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Solution

The fourth proportional to 5,242.26, 7,234.24 and 2,852.26 is: 3,936.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.26 : 7,234.24 = 2,852.26 : x
  2. Step 2: Convert to fraction form
    5,242.26/7,234.24 = 2,852.26/x
  3. Step 3: Cross multiply
    5,242.26x = 7,234.24 × 2,852.26
  4. Step 4: Simplify right side
    5,242.26x = 20,633,933.38
  5. Step 5: Solve for x
    x = 20,633,933.38/5,242.26
  6. Step 6: Final answer
    x = 3,936.08

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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.