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Finding the Fourth Proportional to 6,422.30, 8,861.64 and 3,627.80

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Solution

The fourth proportional to 6,422.30, 8,861.64 and 3,627.80 is: 5,005.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.30 : 8,861.64 = 3,627.80 : x
  2. Step 2: Convert to fraction form
    6,422.30/8,861.64 = 3,627.80/x
  3. Step 3: Cross multiply
    6,422.30x = 8,861.64 × 3,627.80
  4. Step 4: Simplify right side
    6,422.30x = 32,148,257.59
  5. Step 5: Solve for x
    x = 32,148,257.59/6,422.30
  6. Step 6: Final answer
    x = 5,005.72

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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.