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Finding the Fourth Proportional to 2,886.27, 4,324.11 and 2,574.96

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Solution

The fourth proportional to 2,886.27, 4,324.11 and 2,574.96 is: 3,857.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.27 : 4,324.11 = 2,574.96 : x
  2. Step 2: Convert to fraction form
    2,886.27/4,324.11 = 2,574.96/x
  3. Step 3: Cross multiply
    2,886.27x = 4,324.11 × 2,574.96
  4. Step 4: Simplify right side
    2,886.27x = 11,134,400.63
  5. Step 5: Solve for x
    x = 11,134,400.63/2,886.27
  6. Step 6: Final answer
    x = 3,857.71

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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.