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Finding the Fourth Proportional to 5,235, 7,227.96 and 3,665.22

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Solution

The fourth proportional to 5,235, 7,227.96 and 3,665.22 is: 5,060.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235 : 7,227.96 = 3,665.22 : x
  2. Step 2: Convert to fraction form
    5,235/7,227.96 = 3,665.22/x
  3. Step 3: Cross multiply
    5,235x = 7,227.96 × 3,665.22
  4. Step 4: Simplify right side
    5,235x = 26,492,063.55
  5. Step 5: Solve for x
    x = 26,492,063.55/5,235
  6. Step 6: Final answer
    x = 5,060.57

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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.