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Finding the Fourth Proportional to 3,742.62, 5,635.85 and 2,775.54

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Solution

The fourth proportional to 3,742.62, 5,635.85 and 2,775.54 is: 4,179.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.62 : 5,635.85 = 2,775.54 : x
  2. Step 2: Convert to fraction form
    3,742.62/5,635.85 = 2,775.54/x
  3. Step 3: Cross multiply
    3,742.62x = 5,635.85 × 2,775.54
  4. Step 4: Simplify right side
    3,742.62x = 15,642,513.23
  5. Step 5: Solve for x
    x = 15,642,513.23/3,742.62
  6. Step 6: Final answer
    x = 4,179.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.