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Finding the Fourth Proportional to 3,512.12, 4,846.58 and 2,019

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Solution

The fourth proportional to 3,512.12, 4,846.58 and 2,019 is: 2,786.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.12 : 4,846.58 = 2,019 : x
  2. Step 2: Convert to fraction form
    3,512.12/4,846.58 = 2,019/x
  3. Step 3: Cross multiply
    3,512.12x = 4,846.58 × 2,019
  4. Step 4: Simplify right side
    3,512.12x = 9,785,245.02
  5. Step 5: Solve for x
    x = 9,785,245.02/3,512.12
  6. Step 6: Final answer
    x = 2,786.14

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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.