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Finding the Fourth Proportional to 3,828.62, 5,277.50 and 3,201.22

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Solution

The fourth proportional to 3,828.62, 5,277.50 and 3,201.22 is: 4,412.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.62 : 5,277.50 = 3,201.22 : x
  2. Step 2: Convert to fraction form
    3,828.62/5,277.50 = 3,201.22/x
  3. Step 3: Cross multiply
    3,828.62x = 5,277.50 × 3,201.22
  4. Step 4: Simplify right side
    3,828.62x = 16,894,459.15
  5. Step 5: Solve for x
    x = 16,894,459.15/3,828.62
  6. Step 6: Final answer
    x = 4,412.68

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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.