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Finding the Fourth Proportional to 3,744.90, 5,168.99 and 2,173.50

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Solution

The fourth proportional to 3,744.90, 5,168.99 and 2,173.50 is: 3,000.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.90 : 5,168.99 = 2,173.50 : x
  2. Step 2: Convert to fraction form
    3,744.90/5,168.99 = 2,173.50/x
  3. Step 3: Cross multiply
    3,744.90x = 5,168.99 × 2,173.50
  4. Step 4: Simplify right side
    3,744.90x = 11,234,799.77
  5. Step 5: Solve for x
    x = 11,234,799.77/3,744.90
  6. Step 6: Final answer
    x = 3,000.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.