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Finding the Fourth Proportional to 5,640.36, 7,783.17 and 3,249.69

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Solution

The fourth proportional to 5,640.36, 7,783.17 and 3,249.69 is: 4,484.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.36 : 7,783.17 = 3,249.69 : x
  2. Step 2: Convert to fraction form
    5,640.36/7,783.17 = 3,249.69/x
  3. Step 3: Cross multiply
    5,640.36x = 7,783.17 × 3,249.69
  4. Step 4: Simplify right side
    5,640.36x = 25,292,889.72
  5. Step 5: Solve for x
    x = 25,292,889.72/5,640.36
  6. Step 6: Final answer
    x = 4,484.27

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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.