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Finding the Fourth Proportional to 4,311.56, 5,949.90 and 2,448.44

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Solution

The fourth proportional to 4,311.56, 5,949.90 and 2,448.44 is: 3,378.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.56 : 5,949.90 = 2,448.44 : x
  2. Step 2: Convert to fraction form
    4,311.56/5,949.90 = 2,448.44/x
  3. Step 3: Cross multiply
    4,311.56x = 5,949.90 × 2,448.44
  4. Step 4: Simplify right side
    4,311.56x = 14,567,973.16
  5. Step 5: Solve for x
    x = 14,567,973.16/4,311.56
  6. Step 6: Final answer
    x = 3,378.82

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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.