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Finding the Fourth Proportional to 5,647.14, 8,472.42 and 2,138.22

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Solution

The fourth proportional to 5,647.14, 8,472.42 and 2,138.22 is: 3,207.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.14 : 8,472.42 = 2,138.22 : x
  2. Step 2: Convert to fraction form
    5,647.14/8,472.42 = 2,138.22/x
  3. Step 3: Cross multiply
    5,647.14x = 8,472.42 × 2,138.22
  4. Step 4: Simplify right side
    5,647.14x = 18,115,897.89
  5. Step 5: Solve for x
    x = 18,115,897.89/5,647.14
  6. Step 6: Final answer
    x = 3,207.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.