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Finding the Fourth Proportional to 3,967.76, 5,947.32 and 2,666

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Solution

The fourth proportional to 3,967.76, 5,947.32 and 2,666 is: 3,996.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.76 : 5,947.32 = 2,666 : x
  2. Step 2: Convert to fraction form
    3,967.76/5,947.32 = 2,666/x
  3. Step 3: Cross multiply
    3,967.76x = 5,947.32 × 2,666
  4. Step 4: Simplify right side
    3,967.76x = 15,855,555.12
  5. Step 5: Solve for x
    x = 15,855,555.12/3,967.76
  6. Step 6: Final answer
    x = 3,996.10

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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.