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Finding the Fourth Proportional to 6,194.29, 8,546.04 and 3,505.13

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Solution

The fourth proportional to 6,194.29, 8,546.04 and 3,505.13 is: 4,835.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.29 : 8,546.04 = 3,505.13 : x
  2. Step 2: Convert to fraction form
    6,194.29/8,546.04 = 3,505.13/x
  3. Step 3: Cross multiply
    6,194.29x = 8,546.04 × 3,505.13
  4. Step 4: Simplify right side
    6,194.29x = 29,954,938.46
  5. Step 5: Solve for x
    x = 29,954,938.46/6,194.29
  6. Step 6: Final answer
    x = 4,835.90

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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.