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Finding the Fourth Proportional to 3,744.20, 5,616.29 and 1,008.20

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Solution

The fourth proportional to 3,744.20, 5,616.29 and 1,008.20 is: 1,512.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.20 : 5,616.29 = 1,008.20 : x
  2. Step 2: Convert to fraction form
    3,744.20/5,616.29 = 1,008.20/x
  3. Step 3: Cross multiply
    3,744.20x = 5,616.29 × 1,008.20
  4. Step 4: Simplify right side
    3,744.20x = 5,662,310.46
  5. Step 5: Solve for x
    x = 5,662,310.46/3,744.20
  6. Step 6: Final answer
    x = 1,512.29

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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.