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Finding the Fourth Proportional to 6,105.50, 8,422.76 and 3,586.80

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Solution

The fourth proportional to 6,105.50, 8,422.76 and 3,586.80 is: 4,948.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.50 : 8,422.76 = 3,586.80 : x
  2. Step 2: Convert to fraction form
    6,105.50/8,422.76 = 3,586.80/x
  3. Step 3: Cross multiply
    6,105.50x = 8,422.76 × 3,586.80
  4. Step 4: Simplify right side
    6,105.50x = 30,210,755.57
  5. Step 5: Solve for x
    x = 30,210,755.57/6,105.50
  6. Step 6: Final answer
    x = 4,948.12

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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.