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Finding the Fourth Proportional to 3,570.43, 5,357.17 and 1,380.69

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Solution

The fourth proportional to 3,570.43, 5,357.17 and 1,380.69 is: 2,071.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.43 : 5,357.17 = 1,380.69 : x
  2. Step 2: Convert to fraction form
    3,570.43/5,357.17 = 1,380.69/x
  3. Step 3: Cross multiply
    3,570.43x = 5,357.17 × 1,380.69
  4. Step 4: Simplify right side
    3,570.43x = 7,396,591.05
  5. Step 5: Solve for x
    x = 7,396,591.05/3,570.43
  6. Step 6: Final answer
    x = 2,071.63

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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.