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Finding the Fourth Proportional to 3,780.96, 5,655.25 and 2,729.17

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Solution

The fourth proportional to 3,780.96, 5,655.25 and 2,729.17 is: 4,082.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.96 : 5,655.25 = 2,729.17 : x
  2. Step 2: Convert to fraction form
    3,780.96/5,655.25 = 2,729.17/x
  3. Step 3: Cross multiply
    3,780.96x = 5,655.25 × 2,729.17
  4. Step 4: Simplify right side
    3,780.96x = 15,434,138.64
  5. Step 5: Solve for x
    x = 15,434,138.64/3,780.96
  6. Step 6: Final answer
    x = 4,082.07

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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.