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Finding the Fourth Proportional to 3,398.41, 5,092.89 and 1,934.47

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Solution

The fourth proportional to 3,398.41, 5,092.89 and 1,934.47 is: 2,899.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.41 : 5,092.89 = 1,934.47 : x
  2. Step 2: Convert to fraction form
    3,398.41/5,092.89 = 1,934.47/x
  3. Step 3: Cross multiply
    3,398.41x = 5,092.89 × 1,934.47
  4. Step 4: Simplify right side
    3,398.41x = 9,852,042.92
  5. Step 5: Solve for x
    x = 9,852,042.92/3,398.41
  6. Step 6: Final answer
    x = 2,899.02

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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.