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Finding the Fourth Proportional to 3,451.32, 5,178.84 and 3,203.40

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Solution

The fourth proportional to 3,451.32, 5,178.84 and 3,203.40 is: 4,806.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.32 : 5,178.84 = 3,203.40 : x
  2. Step 2: Convert to fraction form
    3,451.32/5,178.84 = 3,203.40/x
  3. Step 3: Cross multiply
    3,451.32x = 5,178.84 × 3,203.40
  4. Step 4: Simplify right side
    3,451.32x = 16,589,896.06
  5. Step 5: Solve for x
    x = 16,589,896.06/3,451.32
  6. Step 6: Final answer
    x = 4,806.83

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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.