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Finding the Fourth Proportional to 6,352.20, 8,764.62 and 4,861.80

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Solution

The fourth proportional to 6,352.20, 8,764.62 and 4,861.80 is: 6,708.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.20 : 8,764.62 = 4,861.80 : x
  2. Step 2: Convert to fraction form
    6,352.20/8,764.62 = 4,861.80/x
  3. Step 3: Cross multiply
    6,352.20x = 8,764.62 × 4,861.80
  4. Step 4: Simplify right side
    6,352.20x = 42,611,829.52
  5. Step 5: Solve for x
    x = 42,611,829.52/6,352.20
  6. Step 6: Final answer
    x = 6,708.20

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Why These Related Problems?

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