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Finding the Fourth Proportional to 5,929.80, 8,183.12 and 3,277.28

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Solution

The fourth proportional to 5,929.80, 8,183.12 and 3,277.28 is: 4,522.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929.80 : 8,183.12 = 3,277.28 : x
  2. Step 2: Convert to fraction form
    5,929.80/8,183.12 = 3,277.28/x
  3. Step 3: Cross multiply
    5,929.80x = 8,183.12 × 3,277.28
  4. Step 4: Simplify right side
    5,929.80x = 26,818,375.51
  5. Step 5: Solve for x
    x = 26,818,375.51/5,929.80
  6. Step 6: Final answer
    x = 4,522.64

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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.