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Finding the Fourth Proportional to 5,965.84, 8,231.88 and 3,728.08

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Solution

The fourth proportional to 5,965.84, 8,231.88 and 3,728.08 is: 5,144.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.84 : 8,231.88 = 3,728.08 : x
  2. Step 2: Convert to fraction form
    5,965.84/8,231.88 = 3,728.08/x
  3. Step 3: Cross multiply
    5,965.84x = 8,231.88 × 3,728.08
  4. Step 4: Simplify right side
    5,965.84x = 30,689,107.19
  5. Step 5: Solve for x
    x = 30,689,107.19/5,965.84
  6. Step 6: Final answer
    x = 5,144.14

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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.