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Finding the Fourth Proportional to 4,471.70, 6,171.23 and 2,583.36

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Solution

The fourth proportional to 4,471.70, 6,171.23 and 2,583.36 is: 3,565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.70 : 6,171.23 = 2,583.36 : x
  2. Step 2: Convert to fraction form
    4,471.70/6,171.23 = 2,583.36/x
  3. Step 3: Cross multiply
    4,471.70x = 6,171.23 × 2,583.36
  4. Step 4: Simplify right side
    4,471.70x = 15,942,519.68
  5. Step 5: Solve for x
    x = 15,942,519.68/4,471.70
  6. Step 6: Final answer
    x = 3,565.20

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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.