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Finding the Fourth Proportional to 3,524.10, 5,286.42 and 927

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Solution

The fourth proportional to 3,524.10, 5,286.42 and 927 is: 1,390.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.10 : 5,286.42 = 927 : x
  2. Step 2: Convert to fraction form
    3,524.10/5,286.42 = 927/x
  3. Step 3: Cross multiply
    3,524.10x = 5,286.42 × 927
  4. Step 4: Simplify right side
    3,524.10x = 4,900,511.34
  5. Step 5: Solve for x
    x = 4,900,511.34/3,524.10
  6. Step 6: Final answer
    x = 1,390.57

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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.