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Finding the Fourth Proportional to 3,992.74, 5,990.08 and 1,801.47

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Solution

The fourth proportional to 3,992.74, 5,990.08 and 1,801.47 is: 2,702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.74 : 5,990.08 = 1,801.47 : x
  2. Step 2: Convert to fraction form
    3,992.74/5,990.08 = 1,801.47/x
  3. Step 3: Cross multiply
    3,992.74x = 5,990.08 × 1,801.47
  4. Step 4: Simplify right side
    3,992.74x = 10,790,949.42
  5. Step 5: Solve for x
    x = 10,790,949.42/3,992.74
  6. Step 6: Final answer
    x = 2,702.64

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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.