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Finding the Fourth Proportional to 3,837, 5,296.02 and 2,181.96

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Solution

The fourth proportional to 3,837, 5,296.02 and 2,181.96 is: 3,011.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837 : 5,296.02 = 2,181.96 : x
  2. Step 2: Convert to fraction form
    3,837/5,296.02 = 2,181.96/x
  3. Step 3: Cross multiply
    3,837x = 5,296.02 × 2,181.96
  4. Step 4: Simplify right side
    3,837x = 11,555,703.80
  5. Step 5: Solve for x
    x = 11,555,703.80/3,837
  6. Step 6: Final answer
    x = 3,011.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.