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Finding the Fourth Proportional to 3,382.44, 5,069.20 and 1,432.23

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Solution

The fourth proportional to 3,382.44, 5,069.20 and 1,432.23 is: 2,146.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.44 : 5,069.20 = 1,432.23 : x
  2. Step 2: Convert to fraction form
    3,382.44/5,069.20 = 1,432.23/x
  3. Step 3: Cross multiply
    3,382.44x = 5,069.20 × 1,432.23
  4. Step 4: Simplify right side
    3,382.44x = 7,260,260.32
  5. Step 5: Solve for x
    x = 7,260,260.32/3,382.44
  6. Step 6: Final answer
    x = 2,146.46

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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.