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Finding the Fourth Proportional to 3,911.72, 5,398.06 and 2,233.09

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Solution

The fourth proportional to 3,911.72, 5,398.06 and 2,233.09 is: 3,081.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.72 : 5,398.06 = 2,233.09 : x
  2. Step 2: Convert to fraction form
    3,911.72/5,398.06 = 2,233.09/x
  3. Step 3: Cross multiply
    3,911.72x = 5,398.06 × 2,233.09
  4. Step 4: Simplify right side
    3,911.72x = 12,054,315.65
  5. Step 5: Solve for x
    x = 12,054,315.65/3,911.72
  6. Step 6: Final answer
    x = 3,081.59

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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.