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Finding the Fourth Proportional to 3,911.70, 5,400.66 and 3,491.34

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Solution

The fourth proportional to 3,911.70, 5,400.66 and 3,491.34 is: 4,820.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.70 : 5,400.66 = 3,491.34 : x
  2. Step 2: Convert to fraction form
    3,911.70/5,400.66 = 3,491.34/x
  3. Step 3: Cross multiply
    3,911.70x = 5,400.66 × 3,491.34
  4. Step 4: Simplify right side
    3,911.70x = 18,855,540.28
  5. Step 5: Solve for x
    x = 18,855,540.28/3,911.70
  6. Step 6: Final answer
    x = 4,820.29

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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.