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Finding the Fourth Proportional to 5,442.89, 8,164.85 and 1,744.27

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Solution

The fourth proportional to 5,442.89, 8,164.85 and 1,744.27 is: 2,616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.89 : 8,164.85 = 1,744.27 : x
  2. Step 2: Convert to fraction form
    5,442.89/8,164.85 = 1,744.27/x
  3. Step 3: Cross multiply
    5,442.89x = 8,164.85 × 1,744.27
  4. Step 4: Simplify right side
    5,442.89x = 14,241,673.78
  5. Step 5: Solve for x
    x = 14,241,673.78/5,442.89
  6. Step 6: Final answer
    x = 2,616.57

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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.