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Finding the Fourth Proportional to 3,863, 5,330.98 and 2,292.44

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Solution

The fourth proportional to 3,863, 5,330.98 and 2,292.44 is: 3,163.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863 : 5,330.98 = 2,292.44 : x
  2. Step 2: Convert to fraction form
    3,863/5,330.98 = 2,292.44/x
  3. Step 3: Cross multiply
    3,863x = 5,330.98 × 2,292.44
  4. Step 4: Simplify right side
    3,863x = 12,220,951.79
  5. Step 5: Solve for x
    x = 12,220,951.79/3,863
  6. Step 6: Final answer
    x = 3,163.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.