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Finding the Fourth Proportional to 3,451.82, 5,170.84 and 3,168.32

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Solution

The fourth proportional to 3,451.82, 5,170.84 and 3,168.32 is: 4,746.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.82 : 5,170.84 = 3,168.32 : x
  2. Step 2: Convert to fraction form
    3,451.82/5,170.84 = 3,168.32/x
  3. Step 3: Cross multiply
    3,451.82x = 5,170.84 × 3,168.32
  4. Step 4: Simplify right side
    3,451.82x = 16,382,842.01
  5. Step 5: Solve for x
    x = 16,382,842.01/3,451.82
  6. Step 6: Final answer
    x = 4,746.15

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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.