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Finding the Fourth Proportional to 5,446.41, 8,170.68 and 1,748.36

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Solution

The fourth proportional to 5,446.41, 8,170.68 and 1,748.36 is: 2,622.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.41 : 8,170.68 = 1,748.36 : x
  2. Step 2: Convert to fraction form
    5,446.41/8,170.68 = 1,748.36/x
  3. Step 3: Cross multiply
    5,446.41x = 8,170.68 × 1,748.36
  4. Step 4: Simplify right side
    5,446.41x = 14,285,240.49
  5. Step 5: Solve for x
    x = 14,285,240.49/5,446.41
  6. Step 6: Final answer
    x = 2,622.87

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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.