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Finding the Fourth Proportional to 3,836.27, 5,290.45 and 3,549.92

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Solution

The fourth proportional to 3,836.27, 5,290.45 and 3,549.92 is: 4,895.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.27 : 5,290.45 = 3,549.92 : x
  2. Step 2: Convert to fraction form
    3,836.27/5,290.45 = 3,549.92/x
  3. Step 3: Cross multiply
    3,836.27x = 5,290.45 × 3,549.92
  4. Step 4: Simplify right side
    3,836.27x = 18,780,638.94
  5. Step 5: Solve for x
    x = 18,780,638.94/3,836.27
  6. Step 6: Final answer
    x = 4,895.54

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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.