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Finding the Fourth Proportional to 3,412.14, 5,115.30 and 3,219

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Solution

The fourth proportional to 3,412.14, 5,115.30 and 3,219 is: 4,825.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.14 : 5,115.30 = 3,219 : x
  2. Step 2: Convert to fraction form
    3,412.14/5,115.30 = 3,219/x
  3. Step 3: Cross multiply
    3,412.14x = 5,115.30 × 3,219
  4. Step 4: Simplify right side
    3,412.14x = 16,466,150.70
  5. Step 5: Solve for x
    x = 16,466,150.70/3,412.14
  6. Step 6: Final answer
    x = 4,825.75

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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.