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Finding the Fourth Proportional to 6,194.25, 8,546.00 and 3,505.10

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Solution

The fourth proportional to 6,194.25, 8,546.00 and 3,505.10 is: 4,835.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.25 : 8,546.00 = 3,505.10 : x
  2. Step 2: Convert to fraction form
    6,194.25/8,546.00 = 3,505.10/x
  3. Step 3: Cross multiply
    6,194.25x = 8,546.00 × 3,505.10
  4. Step 4: Simplify right side
    6,194.25x = 29,954,524.34
  5. Step 5: Solve for x
    x = 29,954,524.34/6,194.25
  6. Step 6: Final answer
    x = 4,835.86

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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.