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Finding the Fourth Proportional to 3,382.72, 5,074.40 and 2,771.84

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Solution

The fourth proportional to 3,382.72, 5,074.40 and 2,771.84 is: 4,158.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.72 : 5,074.40 = 2,771.84 : x
  2. Step 2: Convert to fraction form
    3,382.72/5,074.40 = 2,771.84/x
  3. Step 3: Cross multiply
    3,382.72x = 5,074.40 × 2,771.84
  4. Step 4: Simplify right side
    3,382.72x = 14,065,424.90
  5. Step 5: Solve for x
    x = 14,065,424.90/3,382.72
  6. Step 6: Final answer
    x = 4,158.02

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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.