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Finding the Fourth Proportional to 5,423.96, 8,138.21 and 1,914.44

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Solution

The fourth proportional to 5,423.96, 8,138.21 and 1,914.44 is: 2,872.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,423.96 : 8,138.21 = 1,914.44 : x
  2. Step 2: Convert to fraction form
    5,423.96/8,138.21 = 1,914.44/x
  3. Step 3: Cross multiply
    5,423.96x = 8,138.21 × 1,914.44
  4. Step 4: Simplify right side
    5,423.96x = 15,580,064.49
  5. Step 5: Solve for x
    x = 15,580,064.49/5,423.96
  6. Step 6: Final answer
    x = 2,872.45

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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.