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Finding the Fourth Proportional to 2,574.27, 3,858.15 and 2,227.59

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Solution

The fourth proportional to 2,574.27, 3,858.15 and 2,227.59 is: 3,338.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.27 : 3,858.15 = 2,227.59 : x
  2. Step 2: Convert to fraction form
    2,574.27/3,858.15 = 2,227.59/x
  3. Step 3: Cross multiply
    2,574.27x = 3,858.15 × 2,227.59
  4. Step 4: Simplify right side
    2,574.27x = 8,594,376.36
  5. Step 5: Solve for x
    x = 8,594,376.36/2,574.27
  6. Step 6: Final answer
    x = 3,338.57

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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.