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Finding the Fourth Proportional to 3,571.87, 5,359.17 and 1,382.14

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Solution

The fourth proportional to 3,571.87, 5,359.17 and 1,382.14 is: 2,073.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,571.87 : 5,359.17 = 1,382.14 : x
  2. Step 2: Convert to fraction form
    3,571.87/5,359.17 = 1,382.14/x
  3. Step 3: Cross multiply
    3,571.87x = 5,359.17 × 1,382.14
  4. Step 4: Simplify right side
    3,571.87x = 7,407,123.22
  5. Step 5: Solve for x
    x = 7,407,123.22/3,571.87
  6. Step 6: Final answer
    x = 2,073.74

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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.