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Finding the Fourth Proportional to 3,185.43, 4,777.44 and 1,338.63

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Solution

The fourth proportional to 3,185.43, 4,777.44 and 1,338.63 is: 2,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.43 : 4,777.44 = 1,338.63 : x
  2. Step 2: Convert to fraction form
    3,185.43/4,777.44 = 1,338.63/x
  3. Step 3: Cross multiply
    3,185.43x = 4,777.44 × 1,338.63
  4. Step 4: Simplify right side
    3,185.43x = 6,395,219.49
  5. Step 5: Solve for x
    x = 6,395,219.49/3,185.43
  6. Step 6: Final answer
    x = 2,007.65

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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.