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Finding the Fourth Proportional to 3,832.36, 5,747.32 and 1,234.69

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Solution

The fourth proportional to 3,832.36, 5,747.32 and 1,234.69 is: 1,851.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.36 : 5,747.32 = 1,234.69 : x
  2. Step 2: Convert to fraction form
    3,832.36/5,747.32 = 1,234.69/x
  3. Step 3: Cross multiply
    3,832.36x = 5,747.32 × 1,234.69
  4. Step 4: Simplify right side
    3,832.36x = 7,096,145.71
  5. Step 5: Solve for x
    x = 7,096,145.71/3,832.36
  6. Step 6: Final answer
    x = 1,851.64

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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.