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Finding the Fourth Proportional to 4,111.62, 5,674.62 and 2,343.38

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Solution

The fourth proportional to 4,111.62, 5,674.62 and 2,343.38 is: 3,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,111.62 : 5,674.62 = 2,343.38 : x
  2. Step 2: Convert to fraction form
    4,111.62/5,674.62 = 2,343.38/x
  3. Step 3: Cross multiply
    4,111.62x = 5,674.62 × 2,343.38
  4. Step 4: Simplify right side
    4,111.62x = 13,297,791.02
  5. Step 5: Solve for x
    x = 13,297,791.02/4,111.62
  6. Step 6: Final answer
    x = 3,234.20

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Why These Related Problems?

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