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Finding the Fourth Proportional to 3,188.91, 4,773.14 and 1,704.43

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Solution

The fourth proportional to 3,188.91, 4,773.14 and 1,704.43 is: 2,551.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.91 : 4,773.14 = 1,704.43 : x
  2. Step 2: Convert to fraction form
    3,188.91/4,773.14 = 1,704.43/x
  3. Step 3: Cross multiply
    3,188.91x = 4,773.14 × 1,704.43
  4. Step 4: Simplify right side
    3,188.91x = 8,135,486.85
  5. Step 5: Solve for x
    x = 8,135,486.85/3,188.91
  6. Step 6: Final answer
    x = 2,551.18

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Why These Related Problems?

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