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Finding the Fourth Proportional to 4,073.83, 5,622.07 and 3,188.09

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Solution

The fourth proportional to 4,073.83, 5,622.07 and 3,188.09 is: 4,399.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,073.83 : 5,622.07 = 3,188.09 : x
  2. Step 2: Convert to fraction form
    4,073.83/5,622.07 = 3,188.09/x
  3. Step 3: Cross multiply
    4,073.83x = 5,622.07 × 3,188.09
  4. Step 4: Simplify right side
    4,073.83x = 17,923,665.15
  5. Step 5: Solve for x
    x = 17,923,665.15/4,073.83
  6. Step 6: Final answer
    x = 4,399.71

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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.