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Finding the Fourth Proportional to 4,229.57, 6,340.74 and 2,587.28

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Solution

The fourth proportional to 4,229.57, 6,340.74 and 2,587.28 is: 3,878.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.57 : 6,340.74 = 2,587.28 : x
  2. Step 2: Convert to fraction form
    4,229.57/6,340.74 = 2,587.28/x
  3. Step 3: Cross multiply
    4,229.57x = 6,340.74 × 2,587.28
  4. Step 4: Simplify right side
    4,229.57x = 16,405,238.08
  5. Step 5: Solve for x
    x = 16,405,238.08/4,229.57
  6. Step 6: Final answer
    x = 3,878.71

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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.