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Finding the Fourth Proportional to 3,863.74, 5,327.95 and 3,306.05

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Solution

The fourth proportional to 3,863.74, 5,327.95 and 3,306.05 is: 4,558.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.74 : 5,327.95 = 3,306.05 : x
  2. Step 2: Convert to fraction form
    3,863.74/5,327.95 = 3,306.05/x
  3. Step 3: Cross multiply
    3,863.74x = 5,327.95 × 3,306.05
  4. Step 4: Simplify right side
    3,863.74x = 17,614,469.10
  5. Step 5: Solve for x
    x = 17,614,469.10/3,863.74
  6. Step 6: Final answer
    x = 4,558.92

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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.