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Finding the Fourth Proportional to 3,400.62, 5,101 and 1,092.12

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Solution

The fourth proportional to 3,400.62, 5,101 and 1,092.12 is: 1,638.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.62 : 5,101 = 1,092.12 : x
  2. Step 2: Convert to fraction form
    3,400.62/5,101 = 1,092.12/x
  3. Step 3: Cross multiply
    3,400.62x = 5,101 × 1,092.12
  4. Step 4: Simplify right side
    3,400.62x = 5,570,904.12
  5. Step 5: Solve for x
    x = 5,570,904.12/3,400.62
  6. Step 6: Final answer
    x = 1,638.20

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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.