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Finding the Fourth Proportional to 5,738.40, 8,605.44 and 2,451.80

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Solution

The fourth proportional to 5,738.40, 8,605.44 and 2,451.80 is: 3,676.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.40 : 8,605.44 = 2,451.80 : x
  2. Step 2: Convert to fraction form
    5,738.40/8,605.44 = 2,451.80/x
  3. Step 3: Cross multiply
    5,738.40x = 8,605.44 × 2,451.80
  4. Step 4: Simplify right side
    5,738.40x = 21,098,817.79
  5. Step 5: Solve for x
    x = 21,098,817.79/5,738.40
  6. Step 6: Final answer
    x = 3,676.78

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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.