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Finding the Fourth Proportional to 3,770.46, 5,652.42 and 1,824.06

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Solution

The fourth proportional to 3,770.46, 5,652.42 and 1,824.06 is: 2,734.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.46 : 5,652.42 = 1,824.06 : x
  2. Step 2: Convert to fraction form
    3,770.46/5,652.42 = 1,824.06/x
  3. Step 3: Cross multiply
    3,770.46x = 5,652.42 × 1,824.06
  4. Step 4: Simplify right side
    3,770.46x = 10,310,353.23
  5. Step 5: Solve for x
    x = 10,310,353.23/3,770.46
  6. Step 6: Final answer
    x = 2,734.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.