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Finding the Fourth Proportional to 4,633.56, 6,949.62 and 2,168.16

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Solution

The fourth proportional to 4,633.56, 6,949.62 and 2,168.16 is: 3,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.56 : 6,949.62 = 2,168.16 : x
  2. Step 2: Convert to fraction form
    4,633.56/6,949.62 = 2,168.16/x
  3. Step 3: Cross multiply
    4,633.56x = 6,949.62 × 2,168.16
  4. Step 4: Simplify right side
    4,633.56x = 15,067,888.10
  5. Step 5: Solve for x
    x = 15,067,888.10/4,633.56
  6. Step 6: Final answer
    x = 3,251.90

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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.