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Finding the Fourth Proportional to 3,382.72, 5,074.40 and 1,074.24

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Solution

The fourth proportional to 3,382.72, 5,074.40 and 1,074.24 is: 1,611.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.72 : 5,074.40 = 1,074.24 : x
  2. Step 2: Convert to fraction form
    3,382.72/5,074.40 = 1,074.24/x
  3. Step 3: Cross multiply
    3,382.72x = 5,074.40 × 1,074.24
  4. Step 4: Simplify right side
    3,382.72x = 5,451,123.46
  5. Step 5: Solve for x
    x = 5,451,123.46/3,382.72
  6. Step 6: Final answer
    x = 1,611.46

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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.