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Finding the Fourth Proportional to 3,297.91, 4,946.92 and 1,076.73

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Solution

The fourth proportional to 3,297.91, 4,946.92 and 1,076.73 is: 1,615.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.91 : 4,946.92 = 1,076.73 : x
  2. Step 2: Convert to fraction form
    3,297.91/4,946.92 = 1,076.73/x
  3. Step 3: Cross multiply
    3,297.91x = 4,946.92 × 1,076.73
  4. Step 4: Simplify right side
    3,297.91x = 5,326,523.73
  5. Step 5: Solve for x
    x = 5,326,523.73/3,297.91
  6. Step 6: Final answer
    x = 1,615.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.