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Finding the Fourth Proportional to 3,861.94, 5,743.23 and 3,738.92

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Solution

The fourth proportional to 3,861.94, 5,743.23 and 3,738.92 is: 5,560.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.94 : 5,743.23 = 3,738.92 : x
  2. Step 2: Convert to fraction form
    3,861.94/5,743.23 = 3,738.92/x
  3. Step 3: Cross multiply
    3,861.94x = 5,743.23 × 3,738.92
  4. Step 4: Simplify right side
    3,861.94x = 21,473,444.46
  5. Step 5: Solve for x
    x = 21,473,444.46/3,861.94
  6. Step 6: Final answer
    x = 5,560.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.