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Finding the Fourth Proportional to 4,229.07, 6,340 and 2,586.77

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Solution

The fourth proportional to 4,229.07, 6,340 and 2,586.77 is: 3,877.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.07 : 6,340 = 2,586.77 : x
  2. Step 2: Convert to fraction form
    4,229.07/6,340 = 2,586.77/x
  3. Step 3: Cross multiply
    4,229.07x = 6,340 × 2,586.77
  4. Step 4: Simplify right side
    4,229.07x = 16,400,121.80
  5. Step 5: Solve for x
    x = 16,400,121.80/4,229.07
  6. Step 6: Final answer
    x = 3,877.95

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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.