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Finding the Fourth Proportional to 3,306.91, 4,957.73 and 1,639.86

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Solution

The fourth proportional to 3,306.91, 4,957.73 and 1,639.86 is: 2,458.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.91 : 4,957.73 = 1,639.86 : x
  2. Step 2: Convert to fraction form
    3,306.91/4,957.73 = 1,639.86/x
  3. Step 3: Cross multiply
    3,306.91x = 4,957.73 × 1,639.86
  4. Step 4: Simplify right side
    3,306.91x = 8,129,987.22
  5. Step 5: Solve for x
    x = 8,129,987.22/3,306.91
  6. Step 6: Final answer
    x = 2,458.49

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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.