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Finding the Fourth Proportional to 3,964.87, 5,471.52 and 2,172.46

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Solution

The fourth proportional to 3,964.87, 5,471.52 and 2,172.46 is: 2,998.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.87 : 5,471.52 = 2,172.46 : x
  2. Step 2: Convert to fraction form
    3,964.87/5,471.52 = 2,172.46/x
  3. Step 3: Cross multiply
    3,964.87x = 5,471.52 × 2,172.46
  4. Step 4: Simplify right side
    3,964.87x = 11,886,668.27
  5. Step 5: Solve for x
    x = 11,886,668.27/3,964.87
  6. Step 6: Final answer
    x = 2,998.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.