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Finding the Fourth Proportional to 6,146.40, 8,481.72 and 3,493.62

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Solution

The fourth proportional to 6,146.40, 8,481.72 and 3,493.62 is: 4,821.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.40 : 8,481.72 = 3,493.62 : x
  2. Step 2: Convert to fraction form
    6,146.40/8,481.72 = 3,493.62/x
  3. Step 3: Cross multiply
    6,146.40x = 8,481.72 × 3,493.62
  4. Step 4: Simplify right side
    6,146.40x = 29,631,906.63
  5. Step 5: Solve for x
    x = 29,631,906.63/6,146.40
  6. Step 6: Final answer
    x = 4,821.02

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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.