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Finding the Fourth Proportional to 5,199.80, 7,175.75 and 2,842.00

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Solution

The fourth proportional to 5,199.80, 7,175.75 and 2,842.00 is: 3,921.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.80 : 7,175.75 = 2,842.00 : x
  2. Step 2: Convert to fraction form
    5,199.80/7,175.75 = 2,842.00/x
  3. Step 3: Cross multiply
    5,199.80x = 7,175.75 × 2,842.00
  4. Step 4: Simplify right side
    5,199.80x = 20,393,449.35
  5. Step 5: Solve for x
    x = 20,393,449.35/5,199.80
  6. Step 6: Final answer
    x = 3,921.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.