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Finding the Fourth Proportional to 4,446.12, 6,665.94 and 3,837

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Solution

The fourth proportional to 4,446.12, 6,665.94 and 3,837 is: 5,752.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446.12 : 6,665.94 = 3,837 : x
  2. Step 2: Convert to fraction form
    4,446.12/6,665.94 = 3,837/x
  3. Step 3: Cross multiply
    4,446.12x = 6,665.94 × 3,837
  4. Step 4: Simplify right side
    4,446.12x = 25,577,211.78
  5. Step 5: Solve for x
    x = 25,577,211.78/4,446.12
  6. Step 6: Final answer
    x = 5,752.70

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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.