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Finding the Fourth Proportional to 3,977.12, 5,966.62 and 3,911

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Solution

The fourth proportional to 3,977.12, 5,966.62 and 3,911 is: 5,867.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.12 : 5,966.62 = 3,911 : x
  2. Step 2: Convert to fraction form
    3,977.12/5,966.62 = 3,911/x
  3. Step 3: Cross multiply
    3,977.12x = 5,966.62 × 3,911
  4. Step 4: Simplify right side
    3,977.12x = 23,335,450.82
  5. Step 5: Solve for x
    x = 23,335,450.82/3,977.12
  6. Step 6: Final answer
    x = 5,867.42

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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.