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Finding the Fourth Proportional to 5,174.43, 7,757.83 and 1,662.42

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Solution

The fourth proportional to 5,174.43, 7,757.83 and 1,662.42 is: 2,492.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.43 : 7,757.83 = 1,662.42 : x
  2. Step 2: Convert to fraction form
    5,174.43/7,757.83 = 1,662.42/x
  3. Step 3: Cross multiply
    5,174.43x = 7,757.83 × 1,662.42
  4. Step 4: Simplify right side
    5,174.43x = 12,896,771.75
  5. Step 5: Solve for x
    x = 12,896,771.75/5,174.43
  6. Step 6: Final answer
    x = 2,492.40

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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.