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Finding the Fourth Proportional to 5,129.81, 7,694.71 and 1,234.22

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Solution

The fourth proportional to 5,129.81, 7,694.71 and 1,234.22 is: 1,851.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.81 : 7,694.71 = 1,234.22 : x
  2. Step 2: Convert to fraction form
    5,129.81/7,694.71 = 1,234.22/x
  3. Step 3: Cross multiply
    5,129.81x = 7,694.71 × 1,234.22
  4. Step 4: Simplify right side
    5,129.81x = 9,496,964.98
  5. Step 5: Solve for x
    x = 9,496,964.98/5,129.81
  6. Step 6: Final answer
    x = 1,851.33

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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.