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Finding the Fourth Proportional to 3,382.86, 5,074.29 and 1,074.54

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Solution

The fourth proportional to 3,382.86, 5,074.29 and 1,074.54 is: 1,611.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.86 : 5,074.29 = 1,074.54 : x
  2. Step 2: Convert to fraction form
    3,382.86/5,074.29 = 1,074.54/x
  3. Step 3: Cross multiply
    3,382.86x = 5,074.29 × 1,074.54
  4. Step 4: Simplify right side
    3,382.86x = 5,452,527.58
  5. Step 5: Solve for x
    x = 5,452,527.58/3,382.86
  6. Step 6: Final answer
    x = 1,611.81

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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.