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Finding the Fourth Proportional to 3,911.67, 5,398.74 and 2,340.06

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Solution

The fourth proportional to 3,911.67, 5,398.74 and 2,340.06 is: 3,229.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.67 : 5,398.74 = 2,340.06 : x
  2. Step 2: Convert to fraction form
    3,911.67/5,398.74 = 2,340.06/x
  3. Step 3: Cross multiply
    3,911.67x = 5,398.74 × 2,340.06
  4. Step 4: Simplify right side
    3,911.67x = 12,633,375.52
  5. Step 5: Solve for x
    x = 12,633,375.52/3,911.67
  6. Step 6: Final answer
    x = 3,229.66

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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.