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Finding the Fourth Proportional to 3,207.80, 4,785.37 and 2,984.09

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Solution

The fourth proportional to 3,207.80, 4,785.37 and 2,984.09 is: 4,451.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.80 : 4,785.37 = 2,984.09 : x
  2. Step 2: Convert to fraction form
    3,207.80/4,785.37 = 2,984.09/x
  3. Step 3: Cross multiply
    3,207.80x = 4,785.37 × 2,984.09
  4. Step 4: Simplify right side
    3,207.80x = 14,279,943.38
  5. Step 5: Solve for x
    x = 14,279,943.38/3,207.80
  6. Step 6: Final answer
    x = 4,451.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.