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Finding the Fourth Proportional to 4,153.86, 6,229.02 and 1,231.38

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Solution

The fourth proportional to 4,153.86, 6,229.02 and 1,231.38 is: 1,846.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.86 : 6,229.02 = 1,231.38 : x
  2. Step 2: Convert to fraction form
    4,153.86/6,229.02 = 1,231.38/x
  3. Step 3: Cross multiply
    4,153.86x = 6,229.02 × 1,231.38
  4. Step 4: Simplify right side
    4,153.86x = 7,670,290.65
  5. Step 5: Solve for x
    x = 7,670,290.65/4,153.86
  6. Step 6: Final answer
    x = 1,846.55

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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.