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Finding the Fourth Proportional to 5,735.22, 8,605.38 and 2,450.40

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Solution

The fourth proportional to 5,735.22, 8,605.38 and 2,450.40 is: 3,676.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.22 : 8,605.38 = 2,450.40 : x
  2. Step 2: Convert to fraction form
    5,735.22/8,605.38 = 2,450.40/x
  3. Step 3: Cross multiply
    5,735.22x = 8,605.38 × 2,450.40
  4. Step 4: Simplify right side
    5,735.22x = 21,086,623.15
  5. Step 5: Solve for x
    x = 21,086,623.15/5,735.22
  6. Step 6: Final answer
    x = 3,676.69

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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.