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Finding the Fourth Proportional to 4,150.49, 5,727.80 and 2,382.44

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Solution

The fourth proportional to 4,150.49, 5,727.80 and 2,382.44 is: 3,287.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,150.49 : 5,727.80 = 2,382.44 : x
  2. Step 2: Convert to fraction form
    4,150.49/5,727.80 = 2,382.44/x
  3. Step 3: Cross multiply
    4,150.49x = 5,727.80 × 2,382.44
  4. Step 4: Simplify right side
    4,150.49x = 13,646,139.83
  5. Step 5: Solve for x
    x = 13,646,139.83/4,150.49
  6. Step 6: Final answer
    x = 3,287.84

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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.