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Finding the Fourth Proportional to 5,968.68, 8,232.03 and 3,844.38

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Solution

The fourth proportional to 5,968.68, 8,232.03 and 3,844.38 is: 5,302.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.68 : 8,232.03 = 3,844.38 : x
  2. Step 2: Convert to fraction form
    5,968.68/8,232.03 = 3,844.38/x
  3. Step 3: Cross multiply
    5,968.68x = 8,232.03 × 3,844.38
  4. Step 4: Simplify right side
    5,968.68x = 31,647,051.49
  5. Step 5: Solve for x
    x = 31,647,051.49/5,968.68
  6. Step 6: Final answer
    x = 5,302.19

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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.