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Finding the Fourth Proportional to 3,814.92, 5,722.38 and 1,474.49

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Solution

The fourth proportional to 3,814.92, 5,722.38 and 1,474.49 is: 2,211.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.92 : 5,722.38 = 1,474.49 : x
  2. Step 2: Convert to fraction form
    3,814.92/5,722.38 = 1,474.49/x
  3. Step 3: Cross multiply
    3,814.92x = 5,722.38 × 1,474.49
  4. Step 4: Simplify right side
    3,814.92x = 8,437,592.09
  5. Step 5: Solve for x
    x = 8,437,592.09/3,814.92
  6. Step 6: Final answer
    x = 2,211.74

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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.