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Finding the Fourth Proportional to 3,710.41, 5,114.15 and 2,961.97

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Solution

The fourth proportional to 3,710.41, 5,114.15 and 2,961.97 is: 4,082.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.41 : 5,114.15 = 2,961.97 : x
  2. Step 2: Convert to fraction form
    3,710.41/5,114.15 = 2,961.97/x
  3. Step 3: Cross multiply
    3,710.41x = 5,114.15 × 2,961.97
  4. Step 4: Simplify right side
    3,710.41x = 15,147,944.07
  5. Step 5: Solve for x
    x = 15,147,944.07/3,710.41
  6. Step 6: Final answer
    x = 4,082.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.