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Finding the Fourth Proportional to 4,512.60, 6,768.90 and 4,184.55

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Solution

The fourth proportional to 4,512.60, 6,768.90 and 4,184.55 is: 6,276.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,512.60 : 6,768.90 = 4,184.55 : x
  2. Step 2: Convert to fraction form
    4,512.60/6,768.90 = 4,184.55/x
  3. Step 3: Cross multiply
    4,512.60x = 6,768.90 × 4,184.55
  4. Step 4: Simplify right side
    4,512.60x = 28,324,800.50
  5. Step 5: Solve for x
    x = 28,324,800.50/4,512.60
  6. Step 6: Final answer
    x = 6,276.83

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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.