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Finding the Fourth Proportional to 3,524.03, 5,286.09 and 926.90

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Solution

The fourth proportional to 3,524.03, 5,286.09 and 926.90 is: 1,390.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.03 : 5,286.09 = 926.90 : x
  2. Step 2: Convert to fraction form
    3,524.03/5,286.09 = 926.90/x
  3. Step 3: Cross multiply
    3,524.03x = 5,286.09 × 926.90
  4. Step 4: Simplify right side
    3,524.03x = 4,899,676.82
  5. Step 5: Solve for x
    x = 4,899,676.82/3,524.03
  6. Step 6: Final answer
    x = 1,390.36

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