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Finding the Fourth Proportional to 3,454.80, 5,185.84 and 2,844.88

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Solution

The fourth proportional to 3,454.80, 5,185.84 and 2,844.88 is: 4,270.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.80 : 5,185.84 = 2,844.88 : x
  2. Step 2: Convert to fraction form
    3,454.80/5,185.84 = 2,844.88/x
  3. Step 3: Cross multiply
    3,454.80x = 5,185.84 × 2,844.88
  4. Step 4: Simplify right side
    3,454.80x = 14,753,092.50
  5. Step 5: Solve for x
    x = 14,753,092.50/3,454.80
  6. Step 6: Final answer
    x = 4,270.32

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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.