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Finding the Fourth Proportional to 4,153.78, 6,230.67 and 4,049.22

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Solution

The fourth proportional to 4,153.78, 6,230.67 and 4,049.22 is: 6,073.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.78 : 6,230.67 = 4,049.22 : x
  2. Step 2: Convert to fraction form
    4,153.78/6,230.67 = 4,049.22/x
  3. Step 3: Cross multiply
    4,153.78x = 6,230.67 × 4,049.22
  4. Step 4: Simplify right side
    4,153.78x = 25,229,331.96
  5. Step 5: Solve for x
    x = 25,229,331.96/4,153.78
  6. Step 6: Final answer
    x = 6,073.82

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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.