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Finding the Fourth Proportional to 3,807.09, 5,252.99 and 2,234.61

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Solution

The fourth proportional to 3,807.09, 5,252.99 and 2,234.61 is: 3,083.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.09 : 5,252.99 = 2,234.61 : x
  2. Step 2: Convert to fraction form
    3,807.09/5,252.99 = 2,234.61/x
  3. Step 3: Cross multiply
    3,807.09x = 5,252.99 × 2,234.61
  4. Step 4: Simplify right side
    3,807.09x = 11,738,372.81
  5. Step 5: Solve for x
    x = 11,738,372.81/3,807.09
  6. Step 6: Final answer
    x = 3,083.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.