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Finding the Fourth Proportional to 3,207.98, 4,807.92 and 2,732.78

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Solution

The fourth proportional to 3,207.98, 4,807.92 and 2,732.78 is: 4,095.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.98 : 4,807.92 = 2,732.78 : x
  2. Step 2: Convert to fraction form
    3,207.98/4,807.92 = 2,732.78/x
  3. Step 3: Cross multiply
    3,207.98x = 4,807.92 × 2,732.78
  4. Step 4: Simplify right side
    3,207.98x = 13,138,987.62
  5. Step 5: Solve for x
    x = 13,138,987.62/3,207.98
  6. Step 6: Final answer
    x = 4,095.72

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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.