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Finding the Fourth Proportional to 3,734.34, 5,593.96 and 1,882.88

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Solution

The fourth proportional to 3,734.34, 5,593.96 and 1,882.88 is: 2,820.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.34 : 5,593.96 = 1,882.88 : x
  2. Step 2: Convert to fraction form
    3,734.34/5,593.96 = 1,882.88/x
  3. Step 3: Cross multiply
    3,734.34x = 5,593.96 × 1,882.88
  4. Step 4: Simplify right side
    3,734.34x = 10,532,755.40
  5. Step 5: Solve for x
    x = 10,532,755.40/3,734.34
  6. Step 6: Final answer
    x = 2,820.51

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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.