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Finding the Fourth Proportional to 2,803.24, 3,847.14 and 2,579.68

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Solution

The fourth proportional to 2,803.24, 3,847.14 and 2,579.68 is: 3,540.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.24 : 3,847.14 = 2,579.68 : x
  2. Step 2: Convert to fraction form
    2,803.24/3,847.14 = 2,579.68/x
  3. Step 3: Cross multiply
    2,803.24x = 3,847.14 × 2,579.68
  4. Step 4: Simplify right side
    2,803.24x = 9,924,370.88
  5. Step 5: Solve for x
    x = 9,924,370.88/2,803.24
  6. Step 6: Final answer
    x = 3,540.33

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.