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Finding the Fourth Proportional to 3,947.69, 5,919.44 and 2,304.74

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Solution

The fourth proportional to 3,947.69, 5,919.44 and 2,304.74 is: 3,455.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.69 : 5,919.44 = 2,304.74 : x
  2. Step 2: Convert to fraction form
    3,947.69/5,919.44 = 2,304.74/x
  3. Step 3: Cross multiply
    3,947.69x = 5,919.44 × 2,304.74
  4. Step 4: Simplify right side
    3,947.69x = 13,642,729.02
  5. Step 5: Solve for x
    x = 13,642,729.02/3,947.69
  6. Step 6: Final answer
    x = 3,455.88

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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.