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Finding the Fourth Proportional to 3,144.34, 4,717.25 and 3,092.10

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Solution

The fourth proportional to 3,144.34, 4,717.25 and 3,092.10 is: 4,638.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.34 : 4,717.25 = 3,092.10 : x
  2. Step 2: Convert to fraction form
    3,144.34/4,717.25 = 3,092.10/x
  3. Step 3: Cross multiply
    3,144.34x = 4,717.25 × 3,092.10
  4. Step 4: Simplify right side
    3,144.34x = 14,586,208.73
  5. Step 5: Solve for x
    x = 14,586,208.73/3,144.34
  6. Step 6: Final answer
    x = 4,638.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.