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Finding the Fourth Proportional to 3,911.72, 5,397.90 and 2,233.22

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Solution

The fourth proportional to 3,911.72, 5,397.90 and 2,233.22 is: 3,081.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.72 : 5,397.90 = 2,233.22 : x
  2. Step 2: Convert to fraction form
    3,911.72/5,397.90 = 2,233.22/x
  3. Step 3: Cross multiply
    3,911.72x = 5,397.90 × 2,233.22
  4. Step 4: Simplify right side
    3,911.72x = 12,054,698.24
  5. Step 5: Solve for x
    x = 12,054,698.24/3,911.72
  6. Step 6: Final answer
    x = 3,081.69

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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.