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Finding the Fourth Proportional to 3,855.72, 5,322.86 and 2,674.74

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Solution

The fourth proportional to 3,855.72, 5,322.86 and 2,674.74 is: 3,692.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.72 : 5,322.86 = 2,674.74 : x
  2. Step 2: Convert to fraction form
    3,855.72/5,322.86 = 2,674.74/x
  3. Step 3: Cross multiply
    3,855.72x = 5,322.86 × 2,674.74
  4. Step 4: Simplify right side
    3,855.72x = 14,237,266.56
  5. Step 5: Solve for x
    x = 14,237,266.56/3,855.72
  6. Step 6: Final answer
    x = 3,692.51

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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.