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Finding the Fourth Proportional to 5,951.76, 8,941.32 and 4,200.80

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Solution

The fourth proportional to 5,951.76, 8,941.32 and 4,200.80 is: 6,310.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,951.76 : 8,941.32 = 4,200.80 : x
  2. Step 2: Convert to fraction form
    5,951.76/8,941.32 = 4,200.80/x
  3. Step 3: Cross multiply
    5,951.76x = 8,941.32 × 4,200.80
  4. Step 4: Simplify right side
    5,951.76x = 37,560,652.35
  5. Step 5: Solve for x
    x = 37,560,652.35/5,951.76
  6. Step 6: Final answer
    x = 6,310.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.