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Finding the Fourth Proportional to 3,405.84, 5,118.39 and 2,019.44

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Solution

The fourth proportional to 3,405.84, 5,118.39 and 2,019.44 is: 3,034.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.84 : 5,118.39 = 2,019.44 : x
  2. Step 2: Convert to fraction form
    3,405.84/5,118.39 = 2,019.44/x
  3. Step 3: Cross multiply
    3,405.84x = 5,118.39 × 2,019.44
  4. Step 4: Simplify right side
    3,405.84x = 10,336,255.91
  5. Step 5: Solve for x
    x = 10,336,255.91/3,405.84
  6. Step 6: Final answer
    x = 3,034.86

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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.