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Finding the Fourth Proportional to 3,882.35, 5,322.68 and 3,812.40

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Solution

The fourth proportional to 3,882.35, 5,322.68 and 3,812.40 is: 5,226.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.35 : 5,322.68 = 3,812.40 : x
  2. Step 2: Convert to fraction form
    3,882.35/5,322.68 = 3,812.40/x
  3. Step 3: Cross multiply
    3,882.35x = 5,322.68 × 3,812.40
  4. Step 4: Simplify right side
    3,882.35x = 20,292,180.47
  5. Step 5: Solve for x
    x = 20,292,180.47/3,882.35
  6. Step 6: Final answer
    x = 5,226.78

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.