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Finding the Fourth Proportional to 5,446.19, 8,168.82 and 1,747.41

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Solution

The fourth proportional to 5,446.19, 8,168.82 and 1,747.41 is: 2,620.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.19 : 8,168.82 = 1,747.41 : x
  2. Step 2: Convert to fraction form
    5,446.19/8,168.82 = 1,747.41/x
  3. Step 3: Cross multiply
    5,446.19x = 8,168.82 × 1,747.41
  4. Step 4: Simplify right side
    5,446.19x = 14,274,277.76
  5. Step 5: Solve for x
    x = 14,274,277.76/5,446.19
  6. Step 6: Final answer
    x = 2,620.97

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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.