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Finding the Fourth Proportional to 3,682.92, 5,524.56 and 1,086.06

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Solution

The fourth proportional to 3,682.92, 5,524.56 and 1,086.06 is: 1,629.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.92 : 5,524.56 = 1,086.06 : x
  2. Step 2: Convert to fraction form
    3,682.92/5,524.56 = 1,086.06/x
  3. Step 3: Cross multiply
    3,682.92x = 5,524.56 × 1,086.06
  4. Step 4: Simplify right side
    3,682.92x = 6,000,003.63
  5. Step 5: Solve for x
    x = 6,000,003.63/3,682.92
  6. Step 6: Final answer
    x = 1,629.14

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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.