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Finding the Fourth Proportional to 5,605.69, 7,735.85 and 3,249.20

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Solution

The fourth proportional to 5,605.69, 7,735.85 and 3,249.20 is: 4,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.69 : 7,735.85 = 3,249.20 : x
  2. Step 2: Convert to fraction form
    5,605.69/7,735.85 = 3,249.20/x
  3. Step 3: Cross multiply
    5,605.69x = 7,735.85 × 3,249.20
  4. Step 4: Simplify right side
    5,605.69x = 25,135,285.14
  5. Step 5: Solve for x
    x = 25,135,285.14/5,605.69
  6. Step 6: Final answer
    x = 4,483.89

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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.