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Finding the Fourth Proportional to 4,061.90, 6,092.88 and 1,721.60

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Solution

The fourth proportional to 4,061.90, 6,092.88 and 1,721.60 is: 2,582.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,061.90 : 6,092.88 = 1,721.60 : x
  2. Step 2: Convert to fraction form
    4,061.90/6,092.88 = 1,721.60/x
  3. Step 3: Cross multiply
    4,061.90x = 6,092.88 × 1,721.60
  4. Step 4: Simplify right side
    4,061.90x = 10,489,517.44
  5. Step 5: Solve for x
    x = 10,489,517.44/4,061.90
  6. Step 6: Final answer
    x = 2,582.42

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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.