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Finding the Fourth Proportional to 4,145.44, 6,213.84 and 2,847.28

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Solution

The fourth proportional to 4,145.44, 6,213.84 and 2,847.28 is: 4,267.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.44 : 6,213.84 = 2,847.28 : x
  2. Step 2: Convert to fraction form
    4,145.44/6,213.84 = 2,847.28/x
  3. Step 3: Cross multiply
    4,145.44x = 6,213.84 × 2,847.28
  4. Step 4: Simplify right side
    4,145.44x = 17,692,542.36
  5. Step 5: Solve for x
    x = 17,692,542.36/4,145.44
  6. Step 6: Final answer
    x = 4,267.95

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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.