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Finding the Fourth Proportional to 4,635.36, 6,942.06 and 3,654.90

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Solution

The fourth proportional to 4,635.36, 6,942.06 and 3,654.90 is: 5,473.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635.36 : 6,942.06 = 3,654.90 : x
  2. Step 2: Convert to fraction form
    4,635.36/6,942.06 = 3,654.90/x
  3. Step 3: Cross multiply
    4,635.36x = 6,942.06 × 3,654.90
  4. Step 4: Simplify right side
    4,635.36x = 25,372,535.09
  5. Step 5: Solve for x
    x = 25,372,535.09/4,635.36
  6. Step 6: Final answer
    x = 5,473.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.