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Finding the Fourth Proportional to 3,702, 5,536.32 and 2,824.80

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Solution

The fourth proportional to 3,702, 5,536.32 and 2,824.80 is: 4,224.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702 : 5,536.32 = 2,824.80 : x
  2. Step 2: Convert to fraction form
    3,702/5,536.32 = 2,824.80/x
  3. Step 3: Cross multiply
    3,702x = 5,536.32 × 2,824.80
  4. Step 4: Simplify right side
    3,702x = 15,638,996.74
  5. Step 5: Solve for x
    x = 15,638,996.74/3,702
  6. Step 6: Final answer
    x = 4,224.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.