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Finding the Fourth Proportional to 3,656, 5,486.52 and 3,168.56

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Solution

The fourth proportional to 3,656, 5,486.52 and 3,168.56 is: 4,755.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656 : 5,486.52 = 3,168.56 : x
  2. Step 2: Convert to fraction form
    3,656/5,486.52 = 3,168.56/x
  3. Step 3: Cross multiply
    3,656x = 5,486.52 × 3,168.56
  4. Step 4: Simplify right side
    3,656x = 17,384,367.81
  5. Step 5: Solve for x
    x = 17,384,367.81/3,656
  6. Step 6: Final answer
    x = 4,755.02

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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.