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Finding the Fourth Proportional to 3,882.39, 5,845.47 and 3,423.12

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Solution

The fourth proportional to 3,882.39, 5,845.47 and 3,423.12 is: 5,153.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.39 : 5,845.47 = 3,423.12 : x
  2. Step 2: Convert to fraction form
    3,882.39/5,845.47 = 3,423.12/x
  3. Step 3: Cross multiply
    3,882.39x = 5,845.47 × 3,423.12
  4. Step 4: Simplify right side
    3,882.39x = 20,009,745.27
  5. Step 5: Solve for x
    x = 20,009,745.27/3,882.39
  6. Step 6: Final answer
    x = 5,153.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.