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Finding the Fourth Proportional to 5,605.43, 7,735.68 and 3,087.67

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Solution

The fourth proportional to 5,605.43, 7,735.68 and 3,087.67 is: 4,261.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.43 : 7,735.68 = 3,087.67 : x
  2. Step 2: Convert to fraction form
    5,605.43/7,735.68 = 3,087.67/x
  3. Step 3: Cross multiply
    5,605.43x = 7,735.68 × 3,087.67
  4. Step 4: Simplify right side
    5,605.43x = 23,885,227.07
  5. Step 5: Solve for x
    x = 23,885,227.07/5,605.43
  6. Step 6: Final answer
    x = 4,261.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.