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Finding the Fourth Proportional to 4,255.99, 6,378.45 and 2,381.80

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Solution

The fourth proportional to 4,255.99, 6,378.45 and 2,381.80 is: 3,569.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,255.99 : 6,378.45 = 2,381.80 : x
  2. Step 2: Convert to fraction form
    4,255.99/6,378.45 = 2,381.80/x
  3. Step 3: Cross multiply
    4,255.99x = 6,378.45 × 2,381.80
  4. Step 4: Simplify right side
    4,255.99x = 15,192,217.33
  5. Step 5: Solve for x
    x = 15,192,217.33/4,255.99
  6. Step 6: Final answer
    x = 3,569.61

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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.