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Finding the Fourth Proportional to 3,397.97, 5,092.65 and 1,937.94

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Solution

The fourth proportional to 3,397.97, 5,092.65 and 1,937.94 is: 2,904.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.97 : 5,092.65 = 1,937.94 : x
  2. Step 2: Convert to fraction form
    3,397.97/5,092.65 = 1,937.94/x
  3. Step 3: Cross multiply
    3,397.97x = 5,092.65 × 1,937.94
  4. Step 4: Simplify right side
    3,397.97x = 9,869,250.14
  5. Step 5: Solve for x
    x = 9,869,250.14/3,397.97
  6. Step 6: Final answer
    x = 2,904.46

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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.