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Finding the Fourth Proportional to 4,993.20, 6,892.24 and 3,223.44

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Solution

The fourth proportional to 4,993.20, 6,892.24 and 3,223.44 is: 4,449.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.20 : 6,892.24 = 3,223.44 : x
  2. Step 2: Convert to fraction form
    4,993.20/6,892.24 = 3,223.44/x
  3. Step 3: Cross multiply
    4,993.20x = 6,892.24 × 3,223.44
  4. Step 4: Simplify right side
    4,993.20x = 22,216,722.11
  5. Step 5: Solve for x
    x = 22,216,722.11/4,993.20
  6. Step 6: Final answer
    x = 4,449.40

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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.