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Finding the Fourth Proportional to 3,442.14, 5,189.14 and 3,219.42

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Solution

The fourth proportional to 3,442.14, 5,189.14 and 3,219.42 is: 4,853.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.14 : 5,189.14 = 3,219.42 : x
  2. Step 2: Convert to fraction form
    3,442.14/5,189.14 = 3,219.42/x
  3. Step 3: Cross multiply
    3,442.14x = 5,189.14 × 3,219.42
  4. Step 4: Simplify right side
    3,442.14x = 16,706,021.10
  5. Step 5: Solve for x
    x = 16,706,021.10/3,442.14
  6. Step 6: Final answer
    x = 4,853.38

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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.